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Finding the Fourth Proportional to 2,132.13, 3,192 and 1,586.73

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Solution

The fourth proportional to 2,132.13, 3,192 and 1,586.73 is: 2,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.13 : 3,192 = 1,586.73 : x
  2. Step 2: Convert to fraction form
    2,132.13/3,192 = 1,586.73/x
  3. Step 3: Cross multiply
    2,132.13x = 3,192 × 1,586.73
  4. Step 4: Simplify right side
    2,132.13x = 5,064,842.16
  5. Step 5: Solve for x
    x = 5,064,842.16/2,132.13
  6. Step 6: Final answer
    x = 2,375.48

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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.