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Finding the Fourth Proportional to 2,571.17, 3,863.10 and 1,647.13

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Solution

The fourth proportional to 2,571.17, 3,863.10 and 1,647.13 is: 2,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.17 : 3,863.10 = 1,647.13 : x
  2. Step 2: Convert to fraction form
    2,571.17/3,863.10 = 1,647.13/x
  3. Step 3: Cross multiply
    2,571.17x = 3,863.10 × 1,647.13
  4. Step 4: Simplify right side
    2,571.17x = 6,363,027.90
  5. Step 5: Solve for x
    x = 6,363,027.90/2,571.17
  6. Step 6: Final answer
    x = 2,474.76

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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.