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Finding the Fourth Proportional to 2,092.80, 3,138.30 and 995.88

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Solution

The fourth proportional to 2,092.80, 3,138.30 and 995.88 is: 1,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.80 : 3,138.30 = 995.88 : x
  2. Step 2: Convert to fraction form
    2,092.80/3,138.30 = 995.88/x
  3. Step 3: Cross multiply
    2,092.80x = 3,138.30 × 995.88
  4. Step 4: Simplify right side
    2,092.80x = 3,125,370.20
  5. Step 5: Solve for x
    x = 3,125,370.20/2,092.80
  6. Step 6: Final answer
    x = 1,493.39

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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.