Question

THE RATIO COMPOUNDED OF 4:9 THE DUPLICATE RATIO OF 3:4 THE TRIPLICATE RATIO OF 2:3 AND 9:7 IS

Answer 1

The duplicate ratio of 3:4 = $\frac{3^2}{4^2}= \frac{9}{16}$

The triplicate ratio of 2:3 = $\frac{2^3}{3^3}= \frac{8}{27}$

We need to find the compound ratio of $\frac{4}{9} ;\ \frac{9}{16} ;\ \frac{8}{27} \ and\ \frac{9}{7}$

$Compound\ Ratio=\frac{4}{9} *\frac{9}{16}* \frac{8}{27}*\frac{9}{7}= \frac{2}{21}=\boxed{2:21}$