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Finding the Fourth Proportional to 2,944.78, 4,414.42 and 995.62

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Solution

The fourth proportional to 2,944.78, 4,414.42 and 995.62 is: 1,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.78 : 4,414.42 = 995.62 : x
  2. Step 2: Convert to fraction form
    2,944.78/4,414.42 = 995.62/x
  3. Step 3: Cross multiply
    2,944.78x = 4,414.42 × 995.62
  4. Step 4: Simplify right side
    2,944.78x = 4,395,057.79
  5. Step 5: Solve for x
    x = 4,395,057.79/2,944.78
  6. Step 6: Final answer
    x = 1,492.49

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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.