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Finding the Fourth Proportional to 2,205.20, 3,306.76 and 818.16

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Solution

The fourth proportional to 2,205.20, 3,306.76 and 818.16 is: 1,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.20 : 3,306.76 = 818.16 : x
  2. Step 2: Convert to fraction form
    2,205.20/3,306.76 = 818.16/x
  3. Step 3: Cross multiply
    2,205.20x = 3,306.76 × 818.16
  4. Step 4: Simplify right side
    2,205.20x = 2,705,458.76
  5. Step 5: Solve for x
    x = 2,705,458.76/2,205.20
  6. Step 6: Final answer
    x = 1,226.85

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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.