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Finding the Fourth Proportional to 1,961.70, 2,942.94 and 663.14

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Solution

The fourth proportional to 1,961.70, 2,942.94 and 663.14 is: 994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.70 : 2,942.94 = 663.14 : x
  2. Step 2: Convert to fraction form
    1,961.70/2,942.94 = 663.14/x
  3. Step 3: Cross multiply
    1,961.70x = 2,942.94 × 663.14
  4. Step 4: Simplify right side
    1,961.70x = 1,951,581.23
  5. Step 5: Solve for x
    x = 1,951,581.23/1,961.70
  6. Step 6: Final answer
    x = 994.84

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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.