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Finding the Fourth Proportional to 2,757.40, 4,138.78 and 1,297.56

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Solution

The fourth proportional to 2,757.40, 4,138.78 and 1,297.56 is: 1,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.40 : 4,138.78 = 1,297.56 : x
  2. Step 2: Convert to fraction form
    2,757.40/4,138.78 = 1,297.56/x
  3. Step 3: Cross multiply
    2,757.40x = 4,138.78 × 1,297.56
  4. Step 4: Simplify right side
    2,757.40x = 5,370,315.38
  5. Step 5: Solve for x
    x = 5,370,315.38/2,757.40
  6. Step 6: Final answer
    x = 1,947.60

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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.