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Finding the Fourth Proportional to 2,766.84, 4,151.16 and 2,151.24

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Solution

The fourth proportional to 2,766.84, 4,151.16 and 2,151.24 is: 3,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.84 : 4,151.16 = 2,151.24 : x
  2. Step 2: Convert to fraction form
    2,766.84/4,151.16 = 2,151.24/x
  3. Step 3: Cross multiply
    2,766.84x = 4,151.16 × 2,151.24
  4. Step 4: Simplify right side
    2,766.84x = 8,930,141.44
  5. Step 5: Solve for x
    x = 8,930,141.44/2,766.84
  6. Step 6: Final answer
    x = 3,227.56

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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.