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Finding the Fourth Proportional to 2,755.23, 4,131.96 and 905.91

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Solution

The fourth proportional to 2,755.23, 4,131.96 and 905.91 is: 1,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.23 : 4,131.96 = 905.91 : x
  2. Step 2: Convert to fraction form
    2,755.23/4,131.96 = 905.91/x
  3. Step 3: Cross multiply
    2,755.23x = 4,131.96 × 905.91
  4. Step 4: Simplify right side
    2,755.23x = 3,743,183.88
  5. Step 5: Solve for x
    x = 3,743,183.88/2,755.23
  6. Step 6: Final answer
    x = 1,358.57

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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.