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Finding the Fourth Proportional to 3,186.86, 4,778.73 and 995.58

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Solution

The fourth proportional to 3,186.86, 4,778.73 and 995.58 is: 1,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.86 : 4,778.73 = 995.58 : x
  2. Step 2: Convert to fraction form
    3,186.86/4,778.73 = 995.58/x
  3. Step 3: Cross multiply
    3,186.86x = 4,778.73 × 995.58
  4. Step 4: Simplify right side
    3,186.86x = 4,757,608.01
  5. Step 5: Solve for x
    x = 4,757,608.01/3,186.86
  6. Step 6: Final answer
    x = 1,492.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.