Áp dụng t/c dãy tỉ số bằng nhau:
\(\dfrac{x}{2}=\dfrac{2y}{3}=\dfrac{3z}{4}=\dfrac{2x}{4}=\dfrac{2y}{3}=\dfrac{2x-2y}{4-3}=\dfrac{2\left(x-y\right)}{1}=\dfrac{2.15}{1}=30\)
\(\Rightarrow\left\{{}\begin{matrix}x=2.30=60\\y=30:\dfrac{2}{3}=45\\z=30:\dfrac{3}{4}=40\end{matrix}\right.\)