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Finding the Fourth Proportional to 2,763.27, 3,817.23 and 2,662.23

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Solution

The fourth proportional to 2,763.27, 3,817.23 and 2,662.23 is: 3,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.27 : 3,817.23 = 2,662.23 : x
  2. Step 2: Convert to fraction form
    2,763.27/3,817.23 = 2,662.23/x
  3. Step 3: Cross multiply
    2,763.27x = 3,817.23 × 2,662.23
  4. Step 4: Simplify right side
    2,763.27x = 10,162,344.22
  5. Step 5: Solve for x
    x = 10,162,344.22/2,763.27
  6. Step 6: Final answer
    x = 3,677.65

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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.