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Finding the Fourth Proportional to 2,401.25, 3,601.95 and 757.81

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Solution

The fourth proportional to 2,401.25, 3,601.95 and 757.81 is: 1,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.25 : 3,601.95 = 757.81 : x
  2. Step 2: Convert to fraction form
    2,401.25/3,601.95 = 757.81/x
  3. Step 3: Cross multiply
    2,401.25x = 3,601.95 × 757.81
  4. Step 4: Simplify right side
    2,401.25x = 2,729,593.73
  5. Step 5: Solve for x
    x = 2,729,593.73/2,401.25
  6. Step 6: Final answer
    x = 1,136.74

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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.