Home / 1,587.38-2,382.42-614.17

Finding the Fourth Proportional to 1,587.38, 2,382.42 and 614.17

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Solution

The fourth proportional to 1,587.38, 2,382.42 and 614.17 is: 921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.38 : 2,382.42 = 614.17 : x
  2. Step 2: Convert to fraction form
    1,587.38/2,382.42 = 614.17/x
  3. Step 3: Cross multiply
    1,587.38x = 2,382.42 × 614.17
  4. Step 4: Simplify right side
    1,587.38x = 1,463,198.98
  5. Step 5: Solve for x
    x = 1,463,198.98/1,587.38
  6. Step 6: Final answer
    x = 921.77

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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.