Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a hydraulic system. The piston chambers and the connecting tube are filled with an incompressible fluid. The cross$-$sectional areas of piston $1$ and piston $2$ are A$1$ and A$2,$ respectively. A force F$1$ is exerted on piston $1.$ Rank the resultant force F$2$ on piston $2$ that results from the combinations of F$1,$ A$1,$ and A$2$ given from greatest to smallest. If any of the combinations yield the same force, give them the same ranking. $($Use only $">"$ or $"="$ symbols. Do not include any parentheses around the letters or symbols.$)$

F$1=4\mathrm{.}0$ N; A$1=0\mathrm{.}3$ m$2$; and A$2=0\mathrm{.}6$ m$2$

F$1=2\mathrm{.}0$ N; A$1=0\mathrm{.}3$ m$2$; and A$2=0\mathrm{.}15$ m$2$

F$1=2\mathrm{.}0$ N; A$1=0\mathrm{.}6$ m$2$; and A$2=1\mathrm{.}2$ m$2$

F$1=4\mathrm{.}0$ N; A$1=0\mathrm{.}15$ m$2$; and A$2=0\mathrm{.}6$ m$2$

F$1=4\mathrm{.}0$ N; A$1=0\mathrm{.}15$ m$2$; and A$2=0\mathrm{.}3$ m$2$

F$1=2\mathrm{.}0$ N; A$1=0\mathrm{.}6$ m$2$; and A$2=0\mathrm{.}3$ m$2$