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Finding the Fourth Proportional to 3,268.68, 4,902.96 and 1,969.80

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Solution

The fourth proportional to 3,268.68, 4,902.96 and 1,969.80 is: 2,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.68 : 4,902.96 = 1,969.80 : x
  2. Step 2: Convert to fraction form
    3,268.68/4,902.96 = 1,969.80/x
  3. Step 3: Cross multiply
    3,268.68x = 4,902.96 × 1,969.80
  4. Step 4: Simplify right side
    3,268.68x = 9,657,850.61
  5. Step 5: Solve for x
    x = 9,657,850.61/3,268.68
  6. Step 6: Final answer
    x = 2,954.66

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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.