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Finding the Fourth Proportional to 2,944.11, 4,416.05 and 996.31

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Solution

The fourth proportional to 2,944.11, 4,416.05 and 996.31 is: 1,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.11 : 4,416.05 = 996.31 : x
  2. Step 2: Convert to fraction form
    2,944.11/4,416.05 = 996.31/x
  3. Step 3: Cross multiply
    2,944.11x = 4,416.05 × 996.31
  4. Step 4: Simplify right side
    2,944.11x = 4,399,754.78
  5. Step 5: Solve for x
    x = 4,399,754.78/2,944.11
  6. Step 6: Final answer
    x = 1,494.43

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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.