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Finding the Fourth Proportional to 1,587.92, 2,381.85 and 492.16

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Solution

The fourth proportional to 1,587.92, 2,381.85 and 492.16 is: 738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.92 : 2,381.85 = 492.16 : x
  2. Step 2: Convert to fraction form
    1,587.92/2,381.85 = 492.16/x
  3. Step 3: Cross multiply
    1,587.92x = 2,381.85 × 492.16
  4. Step 4: Simplify right side
    1,587.92x = 1,172,251.30
  5. Step 5: Solve for x
    x = 1,172,251.30/1,587.92
  6. Step 6: Final answer
    x = 738.23

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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.