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Finding the Fourth Proportional to 3,202.05, 4,793.74 and 1,965.71

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Solution

The fourth proportional to 3,202.05, 4,793.74 and 1,965.71 is: 2,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.05 : 4,793.74 = 1,965.71 : x
  2. Step 2: Convert to fraction form
    3,202.05/4,793.74 = 1,965.71/x
  3. Step 3: Cross multiply
    3,202.05x = 4,793.74 × 1,965.71
  4. Step 4: Simplify right side
    3,202.05x = 9,423,118.71
  5. Step 5: Solve for x
    x = 9,423,118.71/3,202.05
  6. Step 6: Final answer
    x = 2,942.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.