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Finding the Fourth Proportional to 3,422.65, 4,723.27 and 1,850.75

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Solution

The fourth proportional to 3,422.65, 4,723.27 and 1,850.75 is: 2,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.65 : 4,723.27 = 1,850.75 : x
  2. Step 2: Convert to fraction form
    3,422.65/4,723.27 = 1,850.75/x
  3. Step 3: Cross multiply
    3,422.65x = 4,723.27 × 1,850.75
  4. Step 4: Simplify right side
    3,422.65x = 8,741,599.13
  5. Step 5: Solve for x
    x = 8,741,599.13/3,422.65
  6. Step 6: Final answer
    x = 2,554.05

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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.