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Finding the Fourth Proportional to 3,286.43, 4,929.60 and 821.24

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Solution

The fourth proportional to 3,286.43, 4,929.60 and 821.24 is: 1,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.43 : 4,929.60 = 821.24 : x
  2. Step 2: Convert to fraction form
    3,286.43/4,929.60 = 821.24/x
  3. Step 3: Cross multiply
    3,286.43x = 4,929.60 × 821.24
  4. Step 4: Simplify right side
    3,286.43x = 4,048,384.70
  5. Step 5: Solve for x
    x = 4,048,384.70/3,286.43
  6. Step 6: Final answer
    x = 1,231.85

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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.