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Finding the Fourth Proportional to 2,091.75, 3,137.96 and 995.73

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Solution

The fourth proportional to 2,091.75, 3,137.96 and 995.73 is: 1,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.75 : 3,137.96 = 995.73 : x
  2. Step 2: Convert to fraction form
    2,091.75/3,137.96 = 995.73/x
  3. Step 3: Cross multiply
    2,091.75x = 3,137.96 × 995.73
  4. Step 4: Simplify right side
    2,091.75x = 3,124,560.91
  5. Step 5: Solve for x
    x = 3,124,560.91/2,091.75
  6. Step 6: Final answer
    x = 1,493.75

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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.