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Finding the Fourth Proportional to 2,529.72, 3,793.68 and 885.96

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Solution

The fourth proportional to 2,529.72, 3,793.68 and 885.96 is: 1,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.72 : 3,793.68 = 885.96 : x
  2. Step 2: Convert to fraction form
    2,529.72/3,793.68 = 885.96/x
  3. Step 3: Cross multiply
    2,529.72x = 3,793.68 × 885.96
  4. Step 4: Simplify right side
    2,529.72x = 3,361,048.73
  5. Step 5: Solve for x
    x = 3,361,048.73/2,529.72
  6. Step 6: Final answer
    x = 1,328.62

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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.