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Finding the Fourth Proportional to 2,728.44, 4,091.49 and 1,267.44

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Solution

The fourth proportional to 2,728.44, 4,091.49 and 1,267.44 is: 1,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.44 : 4,091.49 = 1,267.44 : x
  2. Step 2: Convert to fraction form
    2,728.44/4,091.49 = 1,267.44/x
  3. Step 3: Cross multiply
    2,728.44x = 4,091.49 × 1,267.44
  4. Step 4: Simplify right side
    2,728.44x = 5,185,718.09
  5. Step 5: Solve for x
    x = 5,185,718.09/2,728.44
  6. Step 6: Final answer
    x = 1,900.62

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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.