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Finding the Fourth Proportional to 2,773.48, 4,161.34 and 1,042.24

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Solution

The fourth proportional to 2,773.48, 4,161.34 and 1,042.24 is: 1,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.48 : 4,161.34 = 1,042.24 : x
  2. Step 2: Convert to fraction form
    2,773.48/4,161.34 = 1,042.24/x
  3. Step 3: Cross multiply
    2,773.48x = 4,161.34 × 1,042.24
  4. Step 4: Simplify right side
    2,773.48x = 4,337,115.00
  5. Step 5: Solve for x
    x = 4,337,115.00/2,773.48
  6. Step 6: Final answer
    x = 1,563.78

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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.