Answer
$x=1\frac{1}{8}$
Work Step by Step
Use cross multiplication to solve for x.
$\frac{x}{4\frac{1}{2}}=\frac{2\frac{1}{10}}{8\frac{2}{5}}$
$8\frac{2}{5}(x)=({2\frac{1}{10}})(4\frac{1}{2})$
$\frac{42}{5}(x)=({\frac{21}{10}})(\frac{9}{2})$
$\frac{42}{5}(x)\times\frac{5}{42}=\frac{189}{20}\times\frac{5}{42}$
$x=\frac{\big/\!\!\!3\times9\times\big/\!\!\!7\times\big/\!\!\!5}{4\times\big/\!\!\!5\times\big/\!\!\!3\times2\times\big/\!\!\!7}=\frac{9}{8}=1\frac{1}{8}$
