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Finding the Fourth Proportional to 2,401.38, 3,601.94 and 757.90

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Solution

The fourth proportional to 2,401.38, 3,601.94 and 757.90 is: 1,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.38 : 3,601.94 = 757.90 : x
  2. Step 2: Convert to fraction form
    2,401.38/3,601.94 = 757.90/x
  3. Step 3: Cross multiply
    2,401.38x = 3,601.94 × 757.90
  4. Step 4: Simplify right side
    2,401.38x = 2,729,910.33
  5. Step 5: Solve for x
    x = 2,729,910.33/2,401.38
  6. Step 6: Final answer
    x = 1,136.81

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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.