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Finding the Fourth Proportional to 2,450.02, 3,674.27 and 806.18

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Solution

The fourth proportional to 2,450.02, 3,674.27 and 806.18 is: 1,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.02 : 3,674.27 = 806.18 : x
  2. Step 2: Convert to fraction form
    2,450.02/3,674.27 = 806.18/x
  3. Step 3: Cross multiply
    2,450.02x = 3,674.27 × 806.18
  4. Step 4: Simplify right side
    2,450.02x = 2,962,122.99
  5. Step 5: Solve for x
    x = 2,962,122.99/2,450.02
  6. Step 6: Final answer
    x = 1,209.02

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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.