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Finding the Fourth Proportional to 2,198.62, 3,034.14 and 1,203.89

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Solution

The fourth proportional to 2,198.62, 3,034.14 and 1,203.89 is: 1,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.62 : 3,034.14 = 1,203.89 : x
  2. Step 2: Convert to fraction form
    2,198.62/3,034.14 = 1,203.89/x
  3. Step 3: Cross multiply
    2,198.62x = 3,034.14 × 1,203.89
  4. Step 4: Simplify right side
    2,198.62x = 3,652,770.80
  5. Step 5: Solve for x
    x = 3,652,770.80/2,198.62
  6. Step 6: Final answer
    x = 1,661.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.