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Finding the Fourth Proportional to 2,149.34, 3,221.60 and 1,107.88

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Solution

The fourth proportional to 2,149.34, 3,221.60 and 1,107.88 is: 1,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.34 : 3,221.60 = 1,107.88 : x
  2. Step 2: Convert to fraction form
    2,149.34/3,221.60 = 1,107.88/x
  3. Step 3: Cross multiply
    2,149.34x = 3,221.60 × 1,107.88
  4. Step 4: Simplify right side
    2,149.34x = 3,569,132.61
  5. Step 5: Solve for x
    x = 3,569,132.61/2,149.34
  6. Step 6: Final answer
    x = 1,660.58

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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.