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Finding the Fourth Proportional to 2,147.40, 3,221.46 and 686.44

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Solution

The fourth proportional to 2,147.40, 3,221.46 and 686.44 is: 1,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.40 : 3,221.46 = 686.44 : x
  2. Step 2: Convert to fraction form
    2,147.40/3,221.46 = 686.44/x
  3. Step 3: Cross multiply
    2,147.40x = 3,221.46 × 686.44
  4. Step 4: Simplify right side
    2,147.40x = 2,211,339.00
  5. Step 5: Solve for x
    x = 2,211,339.00/2,147.40
  6. Step 6: Final answer
    x = 1,029.78

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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.