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Finding the Fourth Proportional to 2,123.98, 3,179.79 and 1,382.78

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Solution

The fourth proportional to 2,123.98, 3,179.79 and 1,382.78 is: 2,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.98 : 3,179.79 = 1,382.78 : x
  2. Step 2: Convert to fraction form
    2,123.98/3,179.79 = 1,382.78/x
  3. Step 3: Cross multiply
    2,123.98x = 3,179.79 × 1,382.78
  4. Step 4: Simplify right side
    2,123.98x = 4,396,957.97
  5. Step 5: Solve for x
    x = 4,396,957.97/2,123.98
  6. Step 6: Final answer
    x = 2,070.15

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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.