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Finding the Fourth Proportional to 2,739.76, 4,111.12 and 1,278.56

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Solution

The fourth proportional to 2,739.76, 4,111.12 and 1,278.56 is: 1,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.76 : 4,111.12 = 1,278.56 : x
  2. Step 2: Convert to fraction form
    2,739.76/4,111.12 = 1,278.56/x
  3. Step 3: Cross multiply
    2,739.76x = 4,111.12 × 1,278.56
  4. Step 4: Simplify right side
    2,739.76x = 5,256,313.59
  5. Step 5: Solve for x
    x = 5,256,313.59/2,739.76
  6. Step 6: Final answer
    x = 1,918.53

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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.