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Finding the Fourth Proportional to 2,255.28, 3,112.28 and 1,260.56

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Solution

The fourth proportional to 2,255.28, 3,112.28 and 1,260.56 is: 1,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.28 : 3,112.28 = 1,260.56 : x
  2. Step 2: Convert to fraction form
    2,255.28/3,112.28 = 1,260.56/x
  3. Step 3: Cross multiply
    2,255.28x = 3,112.28 × 1,260.56
  4. Step 4: Simplify right side
    2,255.28x = 3,923,226.61
  5. Step 5: Solve for x
    x = 3,923,226.61/2,255.28
  6. Step 6: Final answer
    x = 1,739.57

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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.