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Finding the Fourth Proportional to 1,995.25, 2,753.45 and 1,167.25

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Solution

The fourth proportional to 1,995.25, 2,753.45 and 1,167.25 is: 1,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.25 : 2,753.45 = 1,167.25 : x
  2. Step 2: Convert to fraction form
    1,995.25/2,753.45 = 1,167.25/x
  3. Step 3: Cross multiply
    1,995.25x = 2,753.45 × 1,167.25
  4. Step 4: Simplify right side
    1,995.25x = 3,213,958.68
  5. Step 5: Solve for x
    x = 3,213,958.68/1,995.25
  6. Step 6: Final answer
    x = 1,610.81

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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.