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Finding the Fourth Proportional to 2,728.28, 3,763.86 and 2,136.44

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Solution

The fourth proportional to 2,728.28, 3,763.86 and 2,136.44 is: 2,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.28 : 3,763.86 = 2,136.44 : x
  2. Step 2: Convert to fraction form
    2,728.28/3,763.86 = 2,136.44/x
  3. Step 3: Cross multiply
    2,728.28x = 3,763.86 × 2,136.44
  4. Step 4: Simplify right side
    2,728.28x = 8,041,261.06
  5. Step 5: Solve for x
    x = 8,041,261.06/2,728.28
  6. Step 6: Final answer
    x = 2,947.37

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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.