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Finding the Fourth Proportional to 1,963.76, 2,947.56 and 938.48

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Solution

The fourth proportional to 1,963.76, 2,947.56 and 938.48 is: 1,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.76 : 2,947.56 = 938.48 : x
  2. Step 2: Convert to fraction form
    1,963.76/2,947.56 = 938.48/x
  3. Step 3: Cross multiply
    1,963.76x = 2,947.56 × 938.48
  4. Step 4: Simplify right side
    1,963.76x = 2,766,226.11
  5. Step 5: Solve for x
    x = 2,766,226.11/1,963.76
  6. Step 6: Final answer
    x = 1,408.64

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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.