Home / 1,705.14-2,555.91-731.97

Finding the Fourth Proportional to 1,705.14, 2,555.91 and 731.97

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Solution

The fourth proportional to 1,705.14, 2,555.91 and 731.97 is: 1,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.14 : 2,555.91 = 731.97 : x
  2. Step 2: Convert to fraction form
    1,705.14/2,555.91 = 731.97/x
  3. Step 3: Cross multiply
    1,705.14x = 2,555.91 × 731.97
  4. Step 4: Simplify right side
    1,705.14x = 1,870,849.44
  5. Step 5: Solve for x
    x = 1,870,849.44/1,705.14
  6. Step 6: Final answer
    x = 1,097.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.