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Finding the Fourth Proportional to 2,401.38, 3,600.57 and 938.82

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Solution

The fourth proportional to 2,401.38, 3,600.57 and 938.82 is: 1,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.38 : 3,600.57 = 938.82 : x
  2. Step 2: Convert to fraction form
    2,401.38/3,600.57 = 938.82/x
  3. Step 3: Cross multiply
    2,401.38x = 3,600.57 × 938.82
  4. Step 4: Simplify right side
    2,401.38x = 3,380,287.13
  5. Step 5: Solve for x
    x = 3,380,287.13/2,401.38
  6. Step 6: Final answer
    x = 1,407.64

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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.