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Finding the Fourth Proportional to 2,498.56, 3,747.92 and 938.40

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Solution

The fourth proportional to 2,498.56, 3,747.92 and 938.40 is: 1,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.56 : 3,747.92 = 938.40 : x
  2. Step 2: Convert to fraction form
    2,498.56/3,747.92 = 938.40/x
  3. Step 3: Cross multiply
    2,498.56x = 3,747.92 × 938.40
  4. Step 4: Simplify right side
    2,498.56x = 3,517,048.13
  5. Step 5: Solve for x
    x = 3,517,048.13/2,498.56
  6. Step 6: Final answer
    x = 1,407.63

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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.