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Finding the Fourth Proportional to 2,147.90, 3,221.67 and 686.66

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Solution

The fourth proportional to 2,147.90, 3,221.67 and 686.66 is: 1,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.90 : 3,221.67 = 686.66 : x
  2. Step 2: Convert to fraction form
    2,147.90/3,221.67 = 686.66/x
  3. Step 3: Cross multiply
    2,147.90x = 3,221.67 × 686.66
  4. Step 4: Simplify right side
    2,147.90x = 2,212,191.92
  5. Step 5: Solve for x
    x = 2,212,191.92/2,147.90
  6. Step 6: Final answer
    x = 1,029.93

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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.