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Finding the Fourth Proportional to 2,395.88, 3,593.82 and 752.57

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Solution

The fourth proportional to 2,395.88, 3,593.82 and 752.57 is: 1,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.88 : 3,593.82 = 752.57 : x
  2. Step 2: Convert to fraction form
    2,395.88/3,593.82 = 752.57/x
  3. Step 3: Cross multiply
    2,395.88x = 3,593.82 × 752.57
  4. Step 4: Simplify right side
    2,395.88x = 2,704,601.12
  5. Step 5: Solve for x
    x = 2,704,601.12/2,395.88
  6. Step 6: Final answer
    x = 1,128.86

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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.