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Finding the Fourth Proportional to 3,285.12, 4,927.53 and 819.87

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Solution

The fourth proportional to 3,285.12, 4,927.53 and 819.87 is: 1,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.12 : 4,927.53 = 819.87 : x
  2. Step 2: Convert to fraction form
    3,285.12/4,927.53 = 819.87/x
  3. Step 3: Cross multiply
    3,285.12x = 4,927.53 × 819.87
  4. Step 4: Simplify right side
    3,285.12x = 4,039,934.02
  5. Step 5: Solve for x
    x = 4,039,934.02/3,285.12
  6. Step 6: Final answer
    x = 1,229.77

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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.