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Finding the Fourth Proportional to 2,489.60, 3,431.09 and 2,067.68

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Solution

The fourth proportional to 2,489.60, 3,431.09 and 2,067.68 is: 2,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.60 : 3,431.09 = 2,067.68 : x
  2. Step 2: Convert to fraction form
    2,489.60/3,431.09 = 2,067.68/x
  3. Step 3: Cross multiply
    2,489.60x = 3,431.09 × 2,067.68
  4. Step 4: Simplify right side
    2,489.60x = 7,094,368.68
  5. Step 5: Solve for x
    x = 7,094,368.68/2,489.60
  6. Step 6: Final answer
    x = 2,849.61

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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.