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Finding the Fourth Proportional to 2,739.22, 4,109.13 and 1,278.18

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Solution

The fourth proportional to 2,739.22, 4,109.13 and 1,278.18 is: 1,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.22 : 4,109.13 = 1,278.18 : x
  2. Step 2: Convert to fraction form
    2,739.22/4,109.13 = 1,278.18/x
  3. Step 3: Cross multiply
    2,739.22x = 4,109.13 × 1,278.18
  4. Step 4: Simplify right side
    2,739.22x = 5,252,207.78
  5. Step 5: Solve for x
    x = 5,252,207.78/2,739.22
  6. Step 6: Final answer
    x = 1,917.41

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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.