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Finding the Fourth Proportional to 2,147.31, 3,221.20 and 760.62

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Solution

The fourth proportional to 2,147.31, 3,221.20 and 760.62 is: 1,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.31 : 3,221.20 = 760.62 : x
  2. Step 2: Convert to fraction form
    2,147.31/3,221.20 = 760.62/x
  3. Step 3: Cross multiply
    2,147.31x = 3,221.20 × 760.62
  4. Step 4: Simplify right side
    2,147.31x = 2,450,122.17
  5. Step 5: Solve for x
    x = 2,450,122.17/2,147.31
  6. Step 6: Final answer
    x = 1,141.02

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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.