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Finding the Fourth Proportional to 2,764.87, 4,147.92 and 1,205.12

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Solution

The fourth proportional to 2,764.87, 4,147.92 and 1,205.12 is: 1,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.87 : 4,147.92 = 1,205.12 : x
  2. Step 2: Convert to fraction form
    2,764.87/4,147.92 = 1,205.12/x
  3. Step 3: Cross multiply
    2,764.87x = 4,147.92 × 1,205.12
  4. Step 4: Simplify right side
    2,764.87x = 4,998,751.72
  5. Step 5: Solve for x
    x = 4,998,751.72/2,764.87
  6. Step 6: Final answer
    x = 1,807.95

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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.