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Finding the Fourth Proportional to 2,198.68, 3,034.42 and 1,314.44

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Solution

The fourth proportional to 2,198.68, 3,034.42 and 1,314.44 is: 1,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.68 : 3,034.42 = 1,314.44 : x
  2. Step 2: Convert to fraction form
    2,198.68/3,034.42 = 1,314.44/x
  3. Step 3: Cross multiply
    2,198.68x = 3,034.42 × 1,314.44
  4. Step 4: Simplify right side
    2,198.68x = 3,988,563.02
  5. Step 5: Solve for x
    x = 3,988,563.02/2,198.68
  6. Step 6: Final answer
    x = 1,814.07

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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.