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Finding the Fourth Proportional to 2,401.29, 3,601.67 and 757.85

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Solution

The fourth proportional to 2,401.29, 3,601.67 and 757.85 is: 1,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.29 : 3,601.67 = 757.85 : x
  2. Step 2: Convert to fraction form
    2,401.29/3,601.67 = 757.85/x
  3. Step 3: Cross multiply
    2,401.29x = 3,601.67 × 757.85
  4. Step 4: Simplify right side
    2,401.29x = 2,729,509.50
  5. Step 5: Solve for x
    x = 2,729,509.50/2,401.29
  6. Step 6: Final answer
    x = 1,136.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.