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Finding the Fourth Proportional to 2,659.21, 3,990.17 and 1,198.02

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Solution

The fourth proportional to 2,659.21, 3,990.17 and 1,198.02 is: 1,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.21 : 3,990.17 = 1,198.02 : x
  2. Step 2: Convert to fraction form
    2,659.21/3,990.17 = 1,198.02/x
  3. Step 3: Cross multiply
    2,659.21x = 3,990.17 × 1,198.02
  4. Step 4: Simplify right side
    2,659.21x = 4,780,303.46
  5. Step 5: Solve for x
    x = 4,780,303.46/2,659.21
  6. Step 6: Final answer
    x = 1,797.64

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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.