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Finding the Fourth Proportional to 2,731.68, 3,794.99 and 2,706.01

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Solution

The fourth proportional to 2,731.68, 3,794.99 and 2,706.01 is: 3,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.68 : 3,794.99 = 2,706.01 : x
  2. Step 2: Convert to fraction form
    2,731.68/3,794.99 = 2,706.01/x
  3. Step 3: Cross multiply
    2,731.68x = 3,794.99 × 2,706.01
  4. Step 4: Simplify right side
    2,731.68x = 10,269,257.87
  5. Step 5: Solve for x
    x = 10,269,257.87/2,731.68
  6. Step 6: Final answer
    x = 3,759.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.