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Finding the Fourth Proportional to 2,844.81, 4,268.46 and 997.26

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Solution

The fourth proportional to 2,844.81, 4,268.46 and 997.26 is: 1,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.81 : 4,268.46 = 997.26 : x
  2. Step 2: Convert to fraction form
    2,844.81/4,268.46 = 997.26/x
  3. Step 3: Cross multiply
    2,844.81x = 4,268.46 × 997.26
  4. Step 4: Simplify right side
    2,844.81x = 4,256,738.09
  5. Step 5: Solve for x
    x = 4,256,738.09/2,844.81
  6. Step 6: Final answer
    x = 1,496.32

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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.