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Finding the Fourth Proportional to 2,768.39, 4,149.12 and 1,382.12

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Solution

The fourth proportional to 2,768.39, 4,149.12 and 1,382.12 is: 2,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.39 : 4,149.12 = 1,382.12 : x
  2. Step 2: Convert to fraction form
    2,768.39/4,149.12 = 1,382.12/x
  3. Step 3: Cross multiply
    2,768.39x = 4,149.12 × 1,382.12
  4. Step 4: Simplify right side
    2,768.39x = 5,734,554.08
  5. Step 5: Solve for x
    x = 5,734,554.08/2,768.39
  6. Step 6: Final answer
    x = 2,071.44

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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.