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Finding the Fourth Proportional to 3,474.98, 4,794.72 and 1,982.33

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Solution

The fourth proportional to 3,474.98, 4,794.72 and 1,982.33 is: 2,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.98 : 4,794.72 = 1,982.33 : x
  2. Step 2: Convert to fraction form
    3,474.98/4,794.72 = 1,982.33/x
  3. Step 3: Cross multiply
    3,474.98x = 4,794.72 × 1,982.33
  4. Step 4: Simplify right side
    3,474.98x = 9,504,717.30
  5. Step 5: Solve for x
    x = 9,504,717.30/3,474.98
  6. Step 6: Final answer
    x = 2,735.19

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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.