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Finding the Fourth Proportional to 2,944.90, 4,414.60 and 995.74

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Solution

The fourth proportional to 2,944.90, 4,414.60 and 995.74 is: 1,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.90 : 4,414.60 = 995.74 : x
  2. Step 2: Convert to fraction form
    2,944.90/4,414.60 = 995.74/x
  3. Step 3: Cross multiply
    2,944.90x = 4,414.60 × 995.74
  4. Step 4: Simplify right side
    2,944.90x = 4,395,793.80
  5. Step 5: Solve for x
    x = 4,395,793.80/2,944.90
  6. Step 6: Final answer
    x = 1,492.68

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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.