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Finding the Fourth Proportional to 2,171.76, 2,997.72 and 1,387.92

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Solution

The fourth proportional to 2,171.76, 2,997.72 and 1,387.92 is: 1,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.76 : 2,997.72 = 1,387.92 : x
  2. Step 2: Convert to fraction form
    2,171.76/2,997.72 = 1,387.92/x
  3. Step 3: Cross multiply
    2,171.76x = 2,997.72 × 1,387.92
  4. Step 4: Simplify right side
    2,171.76x = 4,160,595.54
  5. Step 5: Solve for x
    x = 4,160,595.54/2,171.76
  6. Step 6: Final answer
    x = 1,915.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.