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Finding the Fourth Proportional to 2,400.80, 3,601.20 and 757.47

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Solution

The fourth proportional to 2,400.80, 3,601.20 and 757.47 is: 1,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.80 : 3,601.20 = 757.47 : x
  2. Step 2: Convert to fraction form
    2,400.80/3,601.20 = 757.47/x
  3. Step 3: Cross multiply
    2,400.80x = 3,601.20 × 757.47
  4. Step 4: Simplify right side
    2,400.80x = 2,727,813.52
  5. Step 5: Solve for x
    x = 2,727,813.52/2,400.80
  6. Step 6: Final answer
    x = 1,136.21

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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.