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Finding the Fourth Proportional to 2,667.72, 4,002.48 and 819.12

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Solution

The fourth proportional to 2,667.72, 4,002.48 and 819.12 is: 1,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.72 : 4,002.48 = 819.12 : x
  2. Step 2: Convert to fraction form
    2,667.72/4,002.48 = 819.12/x
  3. Step 3: Cross multiply
    2,667.72x = 4,002.48 × 819.12
  4. Step 4: Simplify right side
    2,667.72x = 3,278,511.42
  5. Step 5: Solve for x
    x = 3,278,511.42/2,667.72
  6. Step 6: Final answer
    x = 1,228.96

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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.