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Finding the Fourth Proportional to 3,268.80, 4,909.74 and 2,684.88

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Solution

The fourth proportional to 3,268.80, 4,909.74 and 2,684.88 is: 4,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.80 : 4,909.74 = 2,684.88 : x
  2. Step 2: Convert to fraction form
    3,268.80/4,909.74 = 2,684.88/x
  3. Step 3: Cross multiply
    3,268.80x = 4,909.74 × 2,684.88
  4. Step 4: Simplify right side
    3,268.80x = 13,182,062.73
  5. Step 5: Solve for x
    x = 13,182,062.73/3,268.80
  6. Step 6: Final answer
    x = 4,032.69

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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.