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Finding the Fourth Proportional to 2,132.48, 3,198.24 and 672.08

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Solution

The fourth proportional to 2,132.48, 3,198.24 and 672.08 is: 1,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.48 : 3,198.24 = 672.08 : x
  2. Step 2: Convert to fraction form
    2,132.48/3,198.24 = 672.08/x
  3. Step 3: Cross multiply
    2,132.48x = 3,198.24 × 672.08
  4. Step 4: Simplify right side
    2,132.48x = 2,149,473.14
  5. Step 5: Solve for x
    x = 2,149,473.14/2,132.48
  6. Step 6: Final answer
    x = 1,007.97

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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.