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Finding the Fourth Proportional to 2,198.90, 3,297.99 and 812.89

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Solution

The fourth proportional to 2,198.90, 3,297.99 and 812.89 is: 1,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.90 : 3,297.99 = 812.89 : x
  2. Step 2: Convert to fraction form
    2,198.90/3,297.99 = 812.89/x
  3. Step 3: Cross multiply
    2,198.90x = 3,297.99 × 812.89
  4. Step 4: Simplify right side
    2,198.90x = 2,680,903.09
  5. Step 5: Solve for x
    x = 2,680,903.09/2,198.90
  6. Step 6: Final answer
    x = 1,219.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.