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Finding the Fourth Proportional to 2,662.27, 3,992.23 and 995.75

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Solution

The fourth proportional to 2,662.27, 3,992.23 and 995.75 is: 1,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.27 : 3,992.23 = 995.75 : x
  2. Step 2: Convert to fraction form
    2,662.27/3,992.23 = 995.75/x
  3. Step 3: Cross multiply
    2,662.27x = 3,992.23 × 995.75
  4. Step 4: Simplify right side
    2,662.27x = 3,975,263.02
  5. Step 5: Solve for x
    x = 3,975,263.02/2,662.27
  6. Step 6: Final answer
    x = 1,493.19

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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.