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Finding the Fourth Proportional to 2,278.70, 3,143.49 and 1,963.41

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Solution

The fourth proportional to 2,278.70, 3,143.49 and 1,963.41 is: 2,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.70 : 3,143.49 = 1,963.41 : x
  2. Step 2: Convert to fraction form
    2,278.70/3,143.49 = 1,963.41/x
  3. Step 3: Cross multiply
    2,278.70x = 3,143.49 × 1,963.41
  4. Step 4: Simplify right side
    2,278.70x = 6,171,959.70
  5. Step 5: Solve for x
    x = 6,171,959.70/2,278.70
  6. Step 6: Final answer
    x = 2,708.55

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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.