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Finding the Fourth Proportional to 3,136.70, 4,331.40 and 1,959.78

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Solution

The fourth proportional to 3,136.70, 4,331.40 and 1,959.78 is: 2,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.70 : 4,331.40 = 1,959.78 : x
  2. Step 2: Convert to fraction form
    3,136.70/4,331.40 = 1,959.78/x
  3. Step 3: Cross multiply
    3,136.70x = 4,331.40 × 1,959.78
  4. Step 4: Simplify right side
    3,136.70x = 8,488,591.09
  5. Step 5: Solve for x
    x = 8,488,591.09/3,136.70
  6. Step 6: Final answer
    x = 2,706.22

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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.