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Finding the Fourth Proportional to 2,488.41, 3,732.71 and 1,027.17

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Solution

The fourth proportional to 2,488.41, 3,732.71 and 1,027.17 is: 1,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.41 : 3,732.71 = 1,027.17 : x
  2. Step 2: Convert to fraction form
    2,488.41/3,732.71 = 1,027.17/x
  3. Step 3: Cross multiply
    2,488.41x = 3,732.71 × 1,027.17
  4. Step 4: Simplify right side
    2,488.41x = 3,834,122.59
  5. Step 5: Solve for x
    x = 3,834,122.59/2,488.41
  6. Step 6: Final answer
    x = 1,540.79

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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.