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Finding the Fourth Proportional to 3,185.66, 4,778.46 and 995.90

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Solution

The fourth proportional to 3,185.66, 4,778.46 and 995.90 is: 1,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.66 : 4,778.46 = 995.90 : x
  2. Step 2: Convert to fraction form
    3,185.66/4,778.46 = 995.90/x
  3. Step 3: Cross multiply
    3,185.66x = 4,778.46 × 995.90
  4. Step 4: Simplify right side
    3,185.66x = 4,758,844.42
  5. Step 5: Solve for x
    x = 4,758,844.42/3,185.66
  6. Step 6: Final answer
    x = 1,493.83

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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.