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Finding the Fourth Proportional to 2,542.31, 3,813.43 and 693.61

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Solution

The fourth proportional to 2,542.31, 3,813.43 and 693.61 is: 1,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.31 : 3,813.43 = 693.61 : x
  2. Step 2: Convert to fraction form
    2,542.31/3,813.43 = 693.61/x
  3. Step 3: Cross multiply
    2,542.31x = 3,813.43 × 693.61
  4. Step 4: Simplify right side
    2,542.31x = 2,645,044.67
  5. Step 5: Solve for x
    x = 2,645,044.67/2,542.31
  6. Step 6: Final answer
    x = 1,040.41

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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.