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Finding the Fourth Proportional to 2,400.75, 3,601.13 and 757.26

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Solution

The fourth proportional to 2,400.75, 3,601.13 and 757.26 is: 1,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.75 : 3,601.13 = 757.26 : x
  2. Step 2: Convert to fraction form
    2,400.75/3,601.13 = 757.26/x
  3. Step 3: Cross multiply
    2,400.75x = 3,601.13 × 757.26
  4. Step 4: Simplify right side
    2,400.75x = 2,726,987.92
  5. Step 5: Solve for x
    x = 2,726,987.92/2,400.75
  6. Step 6: Final answer
    x = 1,135.89

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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.