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Finding the Fourth Proportional to 2,845.53, 4,268.49 and 996.43

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Solution

The fourth proportional to 2,845.53, 4,268.49 and 996.43 is: 1,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.53 : 4,268.49 = 996.43 : x
  2. Step 2: Convert to fraction form
    2,845.53/4,268.49 = 996.43/x
  3. Step 3: Cross multiply
    2,845.53x = 4,268.49 × 996.43
  4. Step 4: Simplify right side
    2,845.53x = 4,253,251.49
  5. Step 5: Solve for x
    x = 4,253,251.49/2,845.53
  6. Step 6: Final answer
    x = 1,494.71

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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.