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Finding the Fourth Proportional to 2,739.23, 3,780.15 and 1,744.30

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Solution

The fourth proportional to 2,739.23, 3,780.15 and 1,744.30 is: 2,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.23 : 3,780.15 = 1,744.30 : x
  2. Step 2: Convert to fraction form
    2,739.23/3,780.15 = 1,744.30/x
  3. Step 3: Cross multiply
    2,739.23x = 3,780.15 × 1,744.30
  4. Step 4: Simplify right side
    2,739.23x = 6,593,723.64
  5. Step 5: Solve for x
    x = 6,593,723.64/2,739.23
  6. Step 6: Final answer
    x = 2,407.14

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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.