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Finding the Fourth Proportional to 2,450.26, 3,674.59 and 806.42

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Solution

The fourth proportional to 2,450.26, 3,674.59 and 806.42 is: 1,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.26 : 3,674.59 = 806.42 : x
  2. Step 2: Convert to fraction form
    2,450.26/3,674.59 = 806.42/x
  3. Step 3: Cross multiply
    2,450.26x = 3,674.59 × 806.42
  4. Step 4: Simplify right side
    2,450.26x = 2,963,262.87
  5. Step 5: Solve for x
    x = 2,963,262.87/2,450.26
  6. Step 6: Final answer
    x = 1,209.37

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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.