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Finding the Fourth Proportional to 2,542.24, 3,813.60 and 693.38

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Solution

The fourth proportional to 2,542.24, 3,813.60 and 693.38 is: 1,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.24 : 3,813.60 = 693.38 : x
  2. Step 2: Convert to fraction form
    2,542.24/3,813.60 = 693.38/x
  3. Step 3: Cross multiply
    2,542.24x = 3,813.60 × 693.38
  4. Step 4: Simplify right side
    2,542.24x = 2,644,273.97
  5. Step 5: Solve for x
    x = 2,644,273.97/2,542.24
  6. Step 6: Final answer
    x = 1,040.14

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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.