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Finding the Fourth Proportional to 2,746.48, 4,139.02 and 2,472.88

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Solution

The fourth proportional to 2,746.48, 4,139.02 and 2,472.88 is: 3,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.48 : 4,139.02 = 2,472.88 : x
  2. Step 2: Convert to fraction form
    2,746.48/4,139.02 = 2,472.88/x
  3. Step 3: Cross multiply
    2,746.48x = 4,139.02 × 2,472.88
  4. Step 4: Simplify right side
    2,746.48x = 10,235,299.78
  5. Step 5: Solve for x
    x = 10,235,299.78/2,746.48
  6. Step 6: Final answer
    x = 3,726.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.