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Finding the Fourth Proportional to 3,074.43, 4,611.08 and 822.99

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Solution

The fourth proportional to 3,074.43, 4,611.08 and 822.99 is: 1,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.43 : 4,611.08 = 822.99 : x
  2. Step 2: Convert to fraction form
    3,074.43/4,611.08 = 822.99/x
  3. Step 3: Cross multiply
    3,074.43x = 4,611.08 × 822.99
  4. Step 4: Simplify right side
    3,074.43x = 3,794,872.73
  5. Step 5: Solve for x
    x = 3,794,872.73/3,074.43
  6. Step 6: Final answer
    x = 1,234.33

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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.