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Finding the Fourth Proportional to 1,432.44, 2,147.19 and 814.83

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Solution

The fourth proportional to 1,432.44, 2,147.19 and 814.83 is: 1,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.44 : 2,147.19 = 814.83 : x
  2. Step 2: Convert to fraction form
    1,432.44/2,147.19 = 814.83/x
  3. Step 3: Cross multiply
    1,432.44x = 2,147.19 × 814.83
  4. Step 4: Simplify right side
    1,432.44x = 1,749,594.83
  5. Step 5: Solve for x
    x = 1,749,594.83/1,432.44
  6. Step 6: Final answer
    x = 1,221.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.