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Finding the Fourth Proportional to 2,728.68, 4,091.04 and 2,069.88

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Solution

The fourth proportional to 2,728.68, 4,091.04 and 2,069.88 is: 3,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.68 : 4,091.04 = 2,069.88 : x
  2. Step 2: Convert to fraction form
    2,728.68/4,091.04 = 2,069.88/x
  3. Step 3: Cross multiply
    2,728.68x = 4,091.04 × 2,069.88
  4. Step 4: Simplify right side
    2,728.68x = 8,467,961.88
  5. Step 5: Solve for x
    x = 8,467,961.88/2,728.68
  6. Step 6: Final answer
    x = 3,103.32

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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.