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Finding the Fourth Proportional to 2,332.38, 3,498.61 and 871.23

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Solution

The fourth proportional to 2,332.38, 3,498.61 and 871.23 is: 1,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.38 : 3,498.61 = 871.23 : x
  2. Step 2: Convert to fraction form
    2,332.38/3,498.61 = 871.23/x
  3. Step 3: Cross multiply
    2,332.38x = 3,498.61 × 871.23
  4. Step 4: Simplify right side
    2,332.38x = 3,048,093.99
  5. Step 5: Solve for x
    x = 3,048,093.99/2,332.38
  6. Step 6: Final answer
    x = 1,306.86

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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.