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Finding the Fourth Proportional to 2,672.80, 4,007.68 and 2,123.36

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Solution

The fourth proportional to 2,672.80, 4,007.68 and 2,123.36 is: 3,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.80 : 4,007.68 = 2,123.36 : x
  2. Step 2: Convert to fraction form
    2,672.80/4,007.68 = 2,123.36/x
  3. Step 3: Cross multiply
    2,672.80x = 4,007.68 × 2,123.36
  4. Step 4: Simplify right side
    2,672.80x = 8,509,747.40
  5. Step 5: Solve for x
    x = 8,509,747.40/2,672.80
  6. Step 6: Final answer
    x = 3,183.83

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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.