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Finding the Fourth Proportional to 3,474.84, 4,794.83 and 1,982.66

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Solution

The fourth proportional to 3,474.84, 4,794.83 and 1,982.66 is: 2,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.84 : 4,794.83 = 1,982.66 : x
  2. Step 2: Convert to fraction form
    3,474.84/4,794.83 = 1,982.66/x
  3. Step 3: Cross multiply
    3,474.84x = 4,794.83 × 1,982.66
  4. Step 4: Simplify right side
    3,474.84x = 9,506,507.73
  5. Step 5: Solve for x
    x = 9,506,507.73/3,474.84
  6. Step 6: Final answer
    x = 2,735.81

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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.