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Finding the Fourth Proportional to 2,755.20, 4,133.21 and 905.97

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Solution

The fourth proportional to 2,755.20, 4,133.21 and 905.97 is: 1,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.20 : 4,133.21 = 905.97 : x
  2. Step 2: Convert to fraction form
    2,755.20/4,133.21 = 905.97/x
  3. Step 3: Cross multiply
    2,755.20x = 4,133.21 × 905.97
  4. Step 4: Simplify right side
    2,755.20x = 3,744,559.73
  5. Step 5: Solve for x
    x = 3,744,559.73/2,755.20
  6. Step 6: Final answer
    x = 1,359.09

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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.