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Finding the Fourth Proportional to 2,400.38, 3,600.25 and 940.57

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Solution

The fourth proportional to 2,400.38, 3,600.25 and 940.57 is: 1,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.38 : 3,600.25 = 940.57 : x
  2. Step 2: Convert to fraction form
    2,400.38/3,600.25 = 940.57/x
  3. Step 3: Cross multiply
    2,400.38x = 3,600.25 × 940.57
  4. Step 4: Simplify right side
    2,400.38x = 3,386,287.14
  5. Step 5: Solve for x
    x = 3,386,287.14/2,400.38
  6. Step 6: Final answer
    x = 1,410.73

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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.