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Finding the Fourth Proportional to 2,895.50, 3,997.62 and 2,231.12

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Solution

The fourth proportional to 2,895.50, 3,997.62 and 2,231.12 is: 3,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.50 : 3,997.62 = 2,231.12 : x
  2. Step 2: Convert to fraction form
    2,895.50/3,997.62 = 2,231.12/x
  3. Step 3: Cross multiply
    2,895.50x = 3,997.62 × 2,231.12
  4. Step 4: Simplify right side
    2,895.50x = 8,919,169.93
  5. Step 5: Solve for x
    x = 8,919,169.93/2,895.50
  6. Step 6: Final answer
    x = 3,080.36

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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.