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Finding the Fourth Proportional to 2,399.68, 3,593.76 and 1,532.80

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Solution

The fourth proportional to 2,399.68, 3,593.76 and 1,532.80 is: 2,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.68 : 3,593.76 = 1,532.80 : x
  2. Step 2: Convert to fraction form
    2,399.68/3,593.76 = 1,532.80/x
  3. Step 3: Cross multiply
    2,399.68x = 3,593.76 × 1,532.80
  4. Step 4: Simplify right side
    2,399.68x = 5,508,515.33
  5. Step 5: Solve for x
    x = 5,508,515.33/2,399.68
  6. Step 6: Final answer
    x = 2,295.52

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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.