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Finding the Fourth Proportional to 2,198.95, 3,034.53 and 1,204.22

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Solution

The fourth proportional to 2,198.95, 3,034.53 and 1,204.22 is: 1,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.95 : 3,034.53 = 1,204.22 : x
  2. Step 2: Convert to fraction form
    2,198.95/3,034.53 = 1,204.22/x
  3. Step 3: Cross multiply
    2,198.95x = 3,034.53 × 1,204.22
  4. Step 4: Simplify right side
    2,198.95x = 3,654,249.30
  5. Step 5: Solve for x
    x = 3,654,249.30/2,198.95
  6. Step 6: Final answer
    x = 1,661.82

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