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Finding the Fourth Proportional to 2,198.94, 3,034.63 and 1,204.31

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Solution

The fourth proportional to 2,198.94, 3,034.63 and 1,204.31 is: 1,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.94 : 3,034.63 = 1,204.31 : x
  2. Step 2: Convert to fraction form
    2,198.94/3,034.63 = 1,204.31/x
  3. Step 3: Cross multiply
    2,198.94x = 3,034.63 × 1,204.31
  4. Step 4: Simplify right side
    2,198.94x = 3,654,617.07
  5. Step 5: Solve for x
    x = 3,654,617.07/2,198.94
  6. Step 6: Final answer
    x = 1,661.99

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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.