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Finding the Fourth Proportional to 2,822.44, 4,226.46 and 1,958.44

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Solution

The fourth proportional to 2,822.44, 4,226.46 and 1,958.44 is: 2,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.44 : 4,226.46 = 1,958.44 : x
  2. Step 2: Convert to fraction form
    2,822.44/4,226.46 = 1,958.44/x
  3. Step 3: Cross multiply
    2,822.44x = 4,226.46 × 1,958.44
  4. Step 4: Simplify right side
    2,822.44x = 8,277,268.32
  5. Step 5: Solve for x
    x = 8,277,268.32/2,822.44
  6. Step 6: Final answer
    x = 2,932.66

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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.