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Finding the Fourth Proportional to 3,186.20, 4,780.20 and 995.15

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Solution

The fourth proportional to 3,186.20, 4,780.20 and 995.15 is: 1,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.20 : 4,780.20 = 995.15 : x
  2. Step 2: Convert to fraction form
    3,186.20/4,780.20 = 995.15/x
  3. Step 3: Cross multiply
    3,186.20x = 4,780.20 × 995.15
  4. Step 4: Simplify right side
    3,186.20x = 4,756,992.13
  5. Step 5: Solve for x
    x = 4,756,992.13/3,186.20
  6. Step 6: Final answer
    x = 1,493.00

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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.