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Finding the Fourth Proportional to 2,450.12, 3,674.43 and 806.33

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Solution

The fourth proportional to 2,450.12, 3,674.43 and 806.33 is: 1,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.12 : 3,674.43 = 806.33 : x
  2. Step 2: Convert to fraction form
    2,450.12/3,674.43 = 806.33/x
  3. Step 3: Cross multiply
    2,450.12x = 3,674.43 × 806.33
  4. Step 4: Simplify right side
    2,450.12x = 2,962,803.14
  5. Step 5: Solve for x
    x = 2,962,803.14/2,450.12
  6. Step 6: Final answer
    x = 1,209.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.