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Finding the Fourth Proportional to 3,474.14, 4,794.21 and 1,982.02

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Solution

The fourth proportional to 3,474.14, 4,794.21 and 1,982.02 is: 2,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.14 : 4,794.21 = 1,982.02 : x
  2. Step 2: Convert to fraction form
    3,474.14/4,794.21 = 1,982.02/x
  3. Step 3: Cross multiply
    3,474.14x = 4,794.21 × 1,982.02
  4. Step 4: Simplify right side
    3,474.14x = 9,502,220.10
  5. Step 5: Solve for x
    x = 9,502,220.10/3,474.14
  6. Step 6: Final answer
    x = 2,735.13

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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.