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Finding the Fourth Proportional to 2,874.17, 4,311.66 and 1,487.66

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Solution

The fourth proportional to 2,874.17, 4,311.66 and 1,487.66 is: 2,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.17 : 4,311.66 = 1,487.66 : x
  2. Step 2: Convert to fraction form
    2,874.17/4,311.66 = 1,487.66/x
  3. Step 3: Cross multiply
    2,874.17x = 4,311.66 × 1,487.66
  4. Step 4: Simplify right side
    2,874.17x = 6,414,262.56
  5. Step 5: Solve for x
    x = 6,414,262.56/2,874.17
  6. Step 6: Final answer
    x = 2,231.70

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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.