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Finding the Fourth Proportional to 2,132.27, 3,198.41 and 832.83

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Solution

The fourth proportional to 2,132.27, 3,198.41 and 832.83 is: 1,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.27 : 3,198.41 = 832.83 : x
  2. Step 2: Convert to fraction form
    2,132.27/3,198.41 = 832.83/x
  3. Step 3: Cross multiply
    2,132.27x = 3,198.41 × 832.83
  4. Step 4: Simplify right side
    2,132.27x = 2,663,731.80
  5. Step 5: Solve for x
    x = 2,663,731.80/2,132.27
  6. Step 6: Final answer
    x = 1,249.25

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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.