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Finding the Fourth Proportional to 2,766.77, 4,152.08 and 1,205.97

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Solution

The fourth proportional to 2,766.77, 4,152.08 and 1,205.97 is: 1,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.77 : 4,152.08 = 1,205.97 : x
  2. Step 2: Convert to fraction form
    2,766.77/4,152.08 = 1,205.97/x
  3. Step 3: Cross multiply
    2,766.77x = 4,152.08 × 1,205.97
  4. Step 4: Simplify right side
    2,766.77x = 5,007,283.92
  5. Step 5: Solve for x
    x = 5,007,283.92/2,766.77
  6. Step 6: Final answer
    x = 1,809.79

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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.