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Finding the Fourth Proportional to 2,714.92, 4,067.90 and 2,487.95

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Solution

The fourth proportional to 2,714.92, 4,067.90 and 2,487.95 is: 3,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.92 : 4,067.90 = 2,487.95 : x
  2. Step 2: Convert to fraction form
    2,714.92/4,067.90 = 2,487.95/x
  3. Step 3: Cross multiply
    2,714.92x = 4,067.90 × 2,487.95
  4. Step 4: Simplify right side
    2,714.92x = 10,120,699.03
  5. Step 5: Solve for x
    x = 10,120,699.03/2,714.92
  6. Step 6: Final answer
    x = 3,727.81

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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.