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Finding the Fourth Proportional to 2,739.25, 3,777.96 and 1,744.21

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Solution

The fourth proportional to 2,739.25, 3,777.96 and 1,744.21 is: 2,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.25 : 3,777.96 = 1,744.21 : x
  2. Step 2: Convert to fraction form
    2,739.25/3,777.96 = 1,744.21/x
  3. Step 3: Cross multiply
    2,739.25x = 3,777.96 × 1,744.21
  4. Step 4: Simplify right side
    2,739.25x = 6,589,555.61
  5. Step 5: Solve for x
    x = 6,589,555.61/2,739.25
  6. Step 6: Final answer
    x = 2,405.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.