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Finding the Fourth Proportional to 2,375.60, 3,559.16 and 1,593.84

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Solution

The fourth proportional to 2,375.60, 3,559.16 and 1,593.84 is: 2,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.60 : 3,559.16 = 1,593.84 : x
  2. Step 2: Convert to fraction form
    2,375.60/3,559.16 = 1,593.84/x
  3. Step 3: Cross multiply
    2,375.60x = 3,559.16 × 1,593.84
  4. Step 4: Simplify right side
    2,375.60x = 5,672,731.57
  5. Step 5: Solve for x
    x = 5,672,731.57/2,375.60
  6. Step 6: Final answer
    x = 2,387.92

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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.