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Finding the Fourth Proportional to 2,519.10, 3,772.17 and 1,650.78

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Solution

The fourth proportional to 2,519.10, 3,772.17 and 1,650.78 is: 2,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.10 : 3,772.17 = 1,650.78 : x
  2. Step 2: Convert to fraction form
    2,519.10/3,772.17 = 1,650.78/x
  3. Step 3: Cross multiply
    2,519.10x = 3,772.17 × 1,650.78
  4. Step 4: Simplify right side
    2,519.10x = 6,227,022.79
  5. Step 5: Solve for x
    x = 6,227,022.79/2,519.10
  6. Step 6: Final answer
    x = 2,471.92

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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.