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Finding the Fourth Proportional to 2,475.39, 3,713.39 and 1,158.47

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Solution

The fourth proportional to 2,475.39, 3,713.39 and 1,158.47 is: 1,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.39 : 3,713.39 = 1,158.47 : x
  2. Step 2: Convert to fraction form
    2,475.39/3,713.39 = 1,158.47/x
  3. Step 3: Cross multiply
    2,475.39x = 3,713.39 × 1,158.47
  4. Step 4: Simplify right side
    2,475.39x = 4,301,850.91
  5. Step 5: Solve for x
    x = 4,301,850.91/2,475.39
  6. Step 6: Final answer
    x = 1,737.85

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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.