Chapter 5 - Ratio and Proportion - 5.4 Solving Problems - 5.4 Exercises - Page 357: 23

$x = 3\frac{1}{2}$

$\frac{2\frac{1}{3}}{1\frac{1}{2}} = \frac{x}{2\frac{1}{4}}$ $(2\frac{1}{3})(2\frac{1}{4}) = (1\frac{1}{2})(x)$ $(\frac{7}{3})(\frac{9}{4}) = (\frac{3}{2})(x)$ $\frac{63}{12} = (\frac{3}{2})(x)$ $(\frac{63}{12})(\frac{2}{3}) = (\frac{3}{2})(x)(\frac{2}{3})$ $\frac{126}{36} = x$ $3\frac{18}{36} = x$ $3\frac{1}{2} = x$