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Finding the Fourth Proportional to 3,474.42, 4,794.02 and 1,982.30

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Solution

The fourth proportional to 3,474.42, 4,794.02 and 1,982.30 is: 2,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.42 : 4,794.02 = 1,982.30 : x
  2. Step 2: Convert to fraction form
    3,474.42/4,794.02 = 1,982.30/x
  3. Step 3: Cross multiply
    3,474.42x = 4,794.02 × 1,982.30
  4. Step 4: Simplify right side
    3,474.42x = 9,503,172.82
  5. Step 5: Solve for x
    x = 9,503,172.82/3,474.42
  6. Step 6: Final answer
    x = 2,735.18

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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.