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Finding the Fourth Proportional to 2,687.46, 4,028.85 and 2,166.54

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Solution

The fourth proportional to 2,687.46, 4,028.85 and 2,166.54 is: 3,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.46 : 4,028.85 = 2,166.54 : x
  2. Step 2: Convert to fraction form
    2,687.46/4,028.85 = 2,166.54/x
  3. Step 3: Cross multiply
    2,687.46x = 4,028.85 × 2,166.54
  4. Step 4: Simplify right side
    2,687.46x = 8,728,664.68
  5. Step 5: Solve for x
    x = 8,728,664.68/2,687.46
  6. Step 6: Final answer
    x = 3,247.92

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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.