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Finding the Fourth Proportional to 3,422.68, 4,723.29 and 1,850.78

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Solution

The fourth proportional to 3,422.68, 4,723.29 and 1,850.78 is: 2,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.68 : 4,723.29 = 1,850.78 : x
  2. Step 2: Convert to fraction form
    3,422.68/4,723.29 = 1,850.78/x
  3. Step 3: Cross multiply
    3,422.68x = 4,723.29 × 1,850.78
  4. Step 4: Simplify right side
    3,422.68x = 8,741,747.05
  5. Step 5: Solve for x
    x = 8,741,747.05/3,422.68
  6. Step 6: Final answer
    x = 2,554.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.