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Finding the Fourth Proportional to 3,422.70, 4,723.32 and 1,850.80

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Solution

The fourth proportional to 3,422.70, 4,723.32 and 1,850.80 is: 2,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.70 : 4,723.32 = 1,850.80 : x
  2. Step 2: Convert to fraction form
    3,422.70/4,723.32 = 1,850.80/x
  3. Step 3: Cross multiply
    3,422.70x = 4,723.32 × 1,850.80
  4. Step 4: Simplify right side
    3,422.70x = 8,741,920.66
  5. Step 5: Solve for x
    x = 8,741,920.66/3,422.70
  6. Step 6: Final answer
    x = 2,554.10

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1.5x scale

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.