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Finding the Fourth Proportional to 3,278.12, 4,917.18 and 1,198.22

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Solution

The fourth proportional to 3,278.12, 4,917.18 and 1,198.22 is: 1,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.12 : 4,917.18 = 1,198.22 : x
  2. Step 2: Convert to fraction form
    3,278.12/4,917.18 = 1,198.22/x
  3. Step 3: Cross multiply
    3,278.12x = 4,917.18 × 1,198.22
  4. Step 4: Simplify right side
    3,278.12x = 5,891,863.42
  5. Step 5: Solve for x
    x = 5,891,863.42/3,278.12
  6. Step 6: Final answer
    x = 1,797.33

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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.