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Finding the Fourth Proportional to 2,166.68, 3,250.02 and 685.90

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Solution

The fourth proportional to 2,166.68, 3,250.02 and 685.90 is: 1,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.68 : 3,250.02 = 685.90 : x
  2. Step 2: Convert to fraction form
    2,166.68/3,250.02 = 685.90/x
  3. Step 3: Cross multiply
    2,166.68x = 3,250.02 × 685.90
  4. Step 4: Simplify right side
    2,166.68x = 2,229,195.35
  5. Step 5: Solve for x
    x = 2,229,195.35/2,166.68
  6. Step 6: Final answer
    x = 1,028.85

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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.