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Finding the Fourth Proportional to 1,587.71, 2,381.72 and 547.57

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Solution

The fourth proportional to 1,587.71, 2,381.72 and 547.57 is: 821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.71 : 2,381.72 = 547.57 : x
  2. Step 2: Convert to fraction form
    1,587.71/2,381.72 = 547.57/x
  3. Step 3: Cross multiply
    1,587.71x = 2,381.72 × 547.57
  4. Step 4: Simplify right side
    1,587.71x = 1,304,149.73
  5. Step 5: Solve for x
    x = 1,304,149.73/1,587.71
  6. Step 6: Final answer
    x = 821.41

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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.