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Finding the Fourth Proportional to 1,617.33, 2,230.97 and 995.25

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Solution

The fourth proportional to 1,617.33, 2,230.97 and 995.25 is: 1,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.33 : 2,230.97 = 995.25 : x
  2. Step 2: Convert to fraction form
    1,617.33/2,230.97 = 995.25/x
  3. Step 3: Cross multiply
    1,617.33x = 2,230.97 × 995.25
  4. Step 4: Simplify right side
    1,617.33x = 2,220,367.92
  5. Step 5: Solve for x
    x = 2,220,367.92/1,617.33
  6. Step 6: Final answer
    x = 1,372.86

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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.