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Finding the Fourth Proportional to 3,144.70, 4,334.97 and 1,963.72

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Solution

The fourth proportional to 3,144.70, 4,334.97 and 1,963.72 is: 2,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.70 : 4,334.97 = 1,963.72 : x
  2. Step 2: Convert to fraction form
    3,144.70/4,334.97 = 1,963.72/x
  3. Step 3: Cross multiply
    3,144.70x = 4,334.97 × 1,963.72
  4. Step 4: Simplify right side
    3,144.70x = 8,512,667.29
  5. Step 5: Solve for x
    x = 8,512,667.29/3,144.70
  6. Step 6: Final answer
    x = 2,706.99

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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.