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Finding the Fourth Proportional to 1,961.54, 2,942.32 and 663.02

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Solution

The fourth proportional to 1,961.54, 2,942.32 and 663.02 is: 994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.54 : 2,942.32 = 663.02 : x
  2. Step 2: Convert to fraction form
    1,961.54/2,942.32 = 663.02/x
  3. Step 3: Cross multiply
    1,961.54x = 2,942.32 × 663.02
  4. Step 4: Simplify right side
    1,961.54x = 1,950,817.01
  5. Step 5: Solve for x
    x = 1,950,817.01/1,961.54
  6. Step 6: Final answer
    x = 994.53

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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.