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Finding the Fourth Proportional to 2,332.26, 3,496.37 and 871.43

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Solution

The fourth proportional to 2,332.26, 3,496.37 and 871.43 is: 1,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.26 : 3,496.37 = 871.43 : x
  2. Step 2: Convert to fraction form
    2,332.26/3,496.37 = 871.43/x
  3. Step 3: Cross multiply
    2,332.26x = 3,496.37 × 871.43
  4. Step 4: Simplify right side
    2,332.26x = 3,046,819.87
  5. Step 5: Solve for x
    x = 3,046,819.87/2,332.26
  6. Step 6: Final answer
    x = 1,306.38

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1.5x scale

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.