г) 3\frac{1}{3} : k = 1\frac{1}{3} : 2;

г) \(3\frac{1}{3} : k = 1\frac{1}{3} : 2\)

1. \(\frac{10}{3} : k = \frac{4}{3} : 2\)
2. \(\frac{4}{3} : 2 = \frac{4}{3} \cdot \frac{1}{2} = \frac{4}{6} = \frac{2}{3}\)
3. \(\frac{10}{3} : k = \frac{2}{3}\)
4. \(k = \frac{10}{3} : \frac{2}{3}\)
5. \(k = \frac{10}{3} \cdot \frac{3}{2}\)
6. \(k = \frac{10 \cdot 3}{3 \cdot 2}\)
7. \(k = \frac{10}{2}\)
8. \(k = 5\)

Ответ: 5