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Finding the Fourth Proportional to 2,706.16, 4,077.68 and 2,229.84

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Solution

The fourth proportional to 2,706.16, 4,077.68 and 2,229.84 is: 3,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.16 : 4,077.68 = 2,229.84 : x
  2. Step 2: Convert to fraction form
    2,706.16/4,077.68 = 2,229.84/x
  3. Step 3: Cross multiply
    2,706.16x = 4,077.68 × 2,229.84
  4. Step 4: Simplify right side
    2,706.16x = 9,092,573.97
  5. Step 5: Solve for x
    x = 9,092,573.97/2,706.16
  6. Step 6: Final answer
    x = 3,359.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.