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Finding the Fourth Proportional to 2,198.99, 3,034.60 and 1,204.28

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Solution

The fourth proportional to 2,198.99, 3,034.60 and 1,204.28 is: 1,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.99 : 3,034.60 = 1,204.28 : x
  2. Step 2: Convert to fraction form
    2,198.99/3,034.60 = 1,204.28/x
  3. Step 3: Cross multiply
    2,198.99x = 3,034.60 × 1,204.28
  4. Step 4: Simplify right side
    2,198.99x = 3,654,489.90
  5. Step 5: Solve for x
    x = 3,654,489.90/2,198.99
  6. Step 6: Final answer
    x = 1,661.89

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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.