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Finding the Fourth Proportional to 2,198.65, 3,034.48 and 1,254.44

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Solution

The fourth proportional to 2,198.65, 3,034.48 and 1,254.44 is: 1,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.65 : 3,034.48 = 1,254.44 : x
  2. Step 2: Convert to fraction form
    2,198.65/3,034.48 = 1,254.44/x
  3. Step 3: Cross multiply
    2,198.65x = 3,034.48 × 1,254.44
  4. Step 4: Simplify right side
    2,198.65x = 3,806,573.09
  5. Step 5: Solve for x
    x = 3,806,573.09/2,198.65
  6. Step 6: Final answer
    x = 1,731.32

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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.