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Finding the Fourth Proportional to 2,270.40, 3,398.40 and 2,198.40

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Solution

The fourth proportional to 2,270.40, 3,398.40 and 2,198.40 is: 3,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.40 : 3,398.40 = 2,198.40 : x
  2. Step 2: Convert to fraction form
    2,270.40/3,398.40 = 2,198.40/x
  3. Step 3: Cross multiply
    2,270.40x = 3,398.40 × 2,198.40
  4. Step 4: Simplify right side
    2,270.40x = 7,471,042.56
  5. Step 5: Solve for x
    x = 7,471,042.56/2,270.40
  6. Step 6: Final answer
    x = 3,290.63

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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.