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Finding the Fourth Proportional to 1,984.68, 2,738.22 and 1,198.92

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Solution

The fourth proportional to 1,984.68, 2,738.22 and 1,198.92 is: 1,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.68 : 2,738.22 = 1,198.92 : x
  2. Step 2: Convert to fraction form
    1,984.68/2,738.22 = 1,198.92/x
  3. Step 3: Cross multiply
    1,984.68x = 2,738.22 × 1,198.92
  4. Step 4: Simplify right side
    1,984.68x = 3,282,906.72
  5. Step 5: Solve for x
    x = 3,282,906.72/1,984.68
  6. Step 6: Final answer
    x = 1,654.12

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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.