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Finding the Fourth Proportional to 2,766.84, 4,147.88 and 1,205.66

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Solution

The fourth proportional to 2,766.84, 4,147.88 and 1,205.66 is: 1,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.84 : 4,147.88 = 1,205.66 : x
  2. Step 2: Convert to fraction form
    2,766.84/4,147.88 = 1,205.66/x
  3. Step 3: Cross multiply
    2,766.84x = 4,147.88 × 1,205.66
  4. Step 4: Simplify right side
    2,766.84x = 5,000,906.23
  5. Step 5: Solve for x
    x = 5,000,906.23/2,766.84
  6. Step 6: Final answer
    x = 1,807.44

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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.