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Finding the Fourth Proportional to 3,231.14, 4,842.07 and 1,841.60

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Solution

The fourth proportional to 3,231.14, 4,842.07 and 1,841.60 is: 2,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.14 : 4,842.07 = 1,841.60 : x
  2. Step 2: Convert to fraction form
    3,231.14/4,842.07 = 1,841.60/x
  3. Step 3: Cross multiply
    3,231.14x = 4,842.07 × 1,841.60
  4. Step 4: Simplify right side
    3,231.14x = 8,917,163.61
  5. Step 5: Solve for x
    x = 8,917,163.61/3,231.14
  6. Step 6: Final answer
    x = 2,759.76

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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.