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Finding the Fourth Proportional to 2,744.97, 4,113.37 and 1,442.49

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Solution

The fourth proportional to 2,744.97, 4,113.37 and 1,442.49 is: 2,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.97 : 4,113.37 = 1,442.49 : x
  2. Step 2: Convert to fraction form
    2,744.97/4,113.37 = 1,442.49/x
  3. Step 3: Cross multiply
    2,744.97x = 4,113.37 × 1,442.49
  4. Step 4: Simplify right side
    2,744.97x = 5,933,495.09
  5. Step 5: Solve for x
    x = 5,933,495.09/2,744.97
  6. Step 6: Final answer
    x = 2,161.59

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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.