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Finding the Fourth Proportional to 2,198.38, 3,297.79 and 812.08

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Solution

The fourth proportional to 2,198.38, 3,297.79 and 812.08 is: 1,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.38 : 3,297.79 = 812.08 : x
  2. Step 2: Convert to fraction form
    2,198.38/3,297.79 = 812.08/x
  3. Step 3: Cross multiply
    2,198.38x = 3,297.79 × 812.08
  4. Step 4: Simplify right side
    2,198.38x = 2,678,069.30
  5. Step 5: Solve for x
    x = 2,678,069.30/2,198.38
  6. Step 6: Final answer
    x = 1,218.20

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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.