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Finding the Fourth Proportional to 2,659.11, 3,989.07 and 1,198.68

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Solution

The fourth proportional to 2,659.11, 3,989.07 and 1,198.68 is: 1,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.11 : 3,989.07 = 1,198.68 : x
  2. Step 2: Convert to fraction form
    2,659.11/3,989.07 = 1,198.68/x
  3. Step 3: Cross multiply
    2,659.11x = 3,989.07 × 1,198.68
  4. Step 4: Simplify right side
    2,659.11x = 4,781,618.43
  5. Step 5: Solve for x
    x = 4,781,618.43/2,659.11
  6. Step 6: Final answer
    x = 1,798.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.