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Finding the Fourth Proportional to 3,231.20, 4,842.78 and 1,845.68

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Solution

The fourth proportional to 3,231.20, 4,842.78 and 1,845.68 is: 2,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.20 : 4,842.78 = 1,845.68 : x
  2. Step 2: Convert to fraction form
    3,231.20/4,842.78 = 1,845.68/x
  3. Step 3: Cross multiply
    3,231.20x = 4,842.78 × 1,845.68
  4. Step 4: Simplify right side
    3,231.20x = 8,938,222.19
  5. Step 5: Solve for x
    x = 8,938,222.19/3,231.20
  6. Step 6: Final answer
    x = 2,766.22

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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.