Suppose you held a diversified portfolio consisting of a $$7,500$ investment in each of $10$ different common stocks. The portfolio's beta is $2\mathrm{.}86.$ Now suppose you decided to sell one of the stocks in your portfolio with a beta of $1\mathrm{.}0$ for $$7,500$ and use the proceeds to buy another stock with a beta of $2\mathrm{.}23.$

What would your portfolio's new beta be$?$ Blank $1$

Do not round intermediate calculations. Round your answer to two decimal places.