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Finding the Fourth Proportional to 2,491.39, 3,738.52 and 932.45

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Solution

The fourth proportional to 2,491.39, 3,738.52 and 932.45 is: 1,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.39 : 3,738.52 = 932.45 : x
  2. Step 2: Convert to fraction form
    2,491.39/3,738.52 = 932.45/x
  3. Step 3: Cross multiply
    2,491.39x = 3,738.52 × 932.45
  4. Step 4: Simplify right side
    2,491.39x = 3,485,982.97
  5. Step 5: Solve for x
    x = 3,485,982.97/2,491.39
  6. Step 6: Final answer
    x = 1,399.21

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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.