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Finding the Fourth Proportional to 2,329.27, 3,493.92 and 574.27

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Solution

The fourth proportional to 2,329.27, 3,493.92 and 574.27 is: 861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.27 : 3,493.92 = 574.27 : x
  2. Step 2: Convert to fraction form
    2,329.27/3,493.92 = 574.27/x
  3. Step 3: Cross multiply
    2,329.27x = 3,493.92 × 574.27
  4. Step 4: Simplify right side
    2,329.27x = 2,006,453.44
  5. Step 5: Solve for x
    x = 2,006,453.44/2,329.27
  6. Step 6: Final answer
    x = 861.41

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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.