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Finding the Fourth Proportional to 2,659.13, 3,987.20 and 1,098.66

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Solution

The fourth proportional to 2,659.13, 3,987.20 and 1,098.66 is: 1,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.13 : 3,987.20 = 1,098.66 : x
  2. Step 2: Convert to fraction form
    2,659.13/3,987.20 = 1,098.66/x
  3. Step 3: Cross multiply
    2,659.13x = 3,987.20 × 1,098.66
  4. Step 4: Simplify right side
    2,659.13x = 4,380,571.66
  5. Step 5: Solve for x
    x = 4,380,571.66/2,659.13
  6. Step 6: Final answer
    x = 1,647.37

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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.