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Finding the Fourth Proportional to 2,565.88, 3,847.17 and 1,687.36

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Solution

The fourth proportional to 2,565.88, 3,847.17 and 1,687.36 is: 2,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.88 : 3,847.17 = 1,687.36 : x
  2. Step 2: Convert to fraction form
    2,565.88/3,847.17 = 1,687.36/x
  3. Step 3: Cross multiply
    2,565.88x = 3,847.17 × 1,687.36
  4. Step 4: Simplify right side
    2,565.88x = 6,491,560.77
  5. Step 5: Solve for x
    x = 6,491,560.77/2,565.88
  6. Step 6: Final answer
    x = 2,529.95

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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.