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Finding the Fourth Proportional to 2,659.73, 3,668.33 and 2,309.81

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Solution

The fourth proportional to 2,659.73, 3,668.33 and 2,309.81 is: 3,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.73 : 3,668.33 = 2,309.81 : x
  2. Step 2: Convert to fraction form
    2,659.73/3,668.33 = 2,309.81/x
  3. Step 3: Cross multiply
    2,659.73x = 3,668.33 × 2,309.81
  4. Step 4: Simplify right side
    2,659.73x = 8,473,115.43
  5. Step 5: Solve for x
    x = 8,473,115.43/2,659.73
  6. Step 6: Final answer
    x = 3,185.71

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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.