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Finding the Fourth Proportional to 2,400.47, 3,600.82 and 939.97

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Solution

The fourth proportional to 2,400.47, 3,600.82 and 939.97 is: 1,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.47 : 3,600.82 = 939.97 : x
  2. Step 2: Convert to fraction form
    2,400.47/3,600.82 = 939.97/x
  3. Step 3: Cross multiply
    2,400.47x = 3,600.82 × 939.97
  4. Step 4: Simplify right side
    2,400.47x = 3,384,651.42
  5. Step 5: Solve for x
    x = 3,384,651.42/2,400.47
  6. Step 6: Final answer
    x = 1,409.99

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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.