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Finding the Fourth Proportional to 2,766.60, 3,817.09 and 1,646.97

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Solution

The fourth proportional to 2,766.60, 3,817.09 and 1,646.97 is: 2,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.60 : 3,817.09 = 1,646.97 : x
  2. Step 2: Convert to fraction form
    2,766.60/3,817.09 = 1,646.97/x
  3. Step 3: Cross multiply
    2,766.60x = 3,817.09 × 1,646.97
  4. Step 4: Simplify right side
    2,766.60x = 6,286,632.72
  5. Step 5: Solve for x
    x = 6,286,632.72/2,766.60
  6. Step 6: Final answer
    x = 2,272.33

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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.