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Finding the Fourth Proportional to 2,766.63, 3,817.96 and 1,647.61

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Solution

The fourth proportional to 2,766.63, 3,817.96 and 1,647.61 is: 2,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.63 : 3,817.96 = 1,647.61 : x
  2. Step 2: Convert to fraction form
    2,766.63/3,817.96 = 1,647.61/x
  3. Step 3: Cross multiply
    2,766.63x = 3,817.96 × 1,647.61
  4. Step 4: Simplify right side
    2,766.63x = 6,290,509.08
  5. Step 5: Solve for x
    x = 6,290,509.08/2,766.63
  6. Step 6: Final answer
    x = 2,273.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.