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Finding the Fourth Proportional to 3,474.42, 4,794.46 and 1,982.40

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Solution

The fourth proportional to 3,474.42, 4,794.46 and 1,982.40 is: 2,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.42 : 4,794.46 = 1,982.40 : x
  2. Step 2: Convert to fraction form
    3,474.42/4,794.46 = 1,982.40/x
  3. Step 3: Cross multiply
    3,474.42x = 4,794.46 × 1,982.40
  4. Step 4: Simplify right side
    3,474.42x = 9,504,514.57
  5. Step 5: Solve for x
    x = 9,504,514.57/3,474.42
  6. Step 6: Final answer
    x = 2,735.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.