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A $2500-$ft roadway centerline is established during a preliminary survey, as shown in Figure below. The three tangent sections are to be connected by two simple curves. If PT$2$ is $1334\mathrm{.}30ft$ away from station $0+00,$ the distance between PT$1$ and PC$2$ equals to $1110\mathrm{.}55ft,$ and the distance between PT$2$ and the ending station equals to $1141\mathrm{.}47ft,$ find the absolute difference between the initial roadway length $(2500ft)$ and total length of the centerline after adding the curves. Write your answer with two degrees of decimal.