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Finding the Fourth Proportional to 2,198.74, 3,034.15 and 1,203.83

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Solution

The fourth proportional to 2,198.74, 3,034.15 and 1,203.83 is: 1,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.74 : 3,034.15 = 1,203.83 : x
  2. Step 2: Convert to fraction form
    2,198.74/3,034.15 = 1,203.83/x
  3. Step 3: Cross multiply
    2,198.74x = 3,034.15 × 1,203.83
  4. Step 4: Simplify right side
    2,198.74x = 3,652,594.78
  5. Step 5: Solve for x
    x = 3,652,594.78/2,198.74
  6. Step 6: Final answer
    x = 1,661.22

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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.