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Finding the Fourth Proportional to 2,766.85, 4,147.17 and 1,208.19

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Solution

The fourth proportional to 2,766.85, 4,147.17 and 1,208.19 is: 1,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.85 : 4,147.17 = 1,208.19 : x
  2. Step 2: Convert to fraction form
    2,766.85/4,147.17 = 1,208.19/x
  3. Step 3: Cross multiply
    2,766.85x = 4,147.17 × 1,208.19
  4. Step 4: Simplify right side
    2,766.85x = 5,010,569.32
  5. Step 5: Solve for x
    x = 5,010,569.32/2,766.85
  6. Step 6: Final answer
    x = 1,810.93

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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.