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Finding the Fourth Proportional to 2,659.80, 3,989.67 and 1,197.92

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Solution

The fourth proportional to 2,659.80, 3,989.67 and 1,197.92 is: 1,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.80 : 3,989.67 = 1,197.92 : x
  2. Step 2: Convert to fraction form
    2,659.80/3,989.67 = 1,197.92/x
  3. Step 3: Cross multiply
    2,659.80x = 3,989.67 × 1,197.92
  4. Step 4: Simplify right side
    2,659.80x = 4,779,317.71
  5. Step 5: Solve for x
    x = 4,779,317.71/2,659.80
  6. Step 6: Final answer
    x = 1,796.87

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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.