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Finding the Fourth Proportional to 2,198.87, 3,296.64 and 1,212.09

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Solution

The fourth proportional to 2,198.87, 3,296.64 and 1,212.09 is: 1,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.87 : 3,296.64 = 1,212.09 : x
  2. Step 2: Convert to fraction form
    2,198.87/3,296.64 = 1,212.09/x
  3. Step 3: Cross multiply
    2,198.87x = 3,296.64 × 1,212.09
  4. Step 4: Simplify right side
    2,198.87x = 3,995,824.38
  5. Step 5: Solve for x
    x = 3,995,824.38/2,198.87
  6. Step 6: Final answer
    x = 1,817.22

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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.