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Finding the Fourth Proportional to 1,587.47, 2,381.30 and 491.94

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Solution

The fourth proportional to 1,587.47, 2,381.30 and 491.94 is: 737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.47 : 2,381.30 = 491.94 : x
  2. Step 2: Convert to fraction form
    1,587.47/2,381.30 = 491.94/x
  3. Step 3: Cross multiply
    1,587.47x = 2,381.30 × 491.94
  4. Step 4: Simplify right side
    1,587.47x = 1,171,456.11
  5. Step 5: Solve for x
    x = 1,171,456.11/1,587.47
  6. Step 6: Final answer
    x = 737.94

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