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Finding the Fourth Proportional to 3,268.67, 4,900.83 and 1,188.42

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Solution

The fourth proportional to 3,268.67, 4,900.83 and 1,188.42 is: 1,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.67 : 4,900.83 = 1,188.42 : x
  2. Step 2: Convert to fraction form
    3,268.67/4,900.83 = 1,188.42/x
  3. Step 3: Cross multiply
    3,268.67x = 4,900.83 × 1,188.42
  4. Step 4: Simplify right side
    3,268.67x = 5,824,267.22
  5. Step 5: Solve for x
    x = 5,824,267.22/3,268.67
  6. Step 6: Final answer
    x = 1,781.85

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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.