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Finding the Fourth Proportional to 3,187.30, 4,781.40 and 995.80

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Solution

The fourth proportional to 3,187.30, 4,781.40 and 995.80 is: 1,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.30 : 4,781.40 = 995.80 : x
  2. Step 2: Convert to fraction form
    3,187.30/4,781.40 = 995.80/x
  3. Step 3: Cross multiply
    3,187.30x = 4,781.40 × 995.80
  4. Step 4: Simplify right side
    3,187.30x = 4,761,318.12
  5. Step 5: Solve for x
    x = 4,761,318.12/3,187.30
  6. Step 6: Final answer
    x = 1,493.84

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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.