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Finding the Fourth Proportional to 1,961.55, 2,942.38 and 922.04

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Solution

The fourth proportional to 1,961.55, 2,942.38 and 922.04 is: 1,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.55 : 2,942.38 = 922.04 : x
  2. Step 2: Convert to fraction form
    1,961.55/2,942.38 = 922.04/x
  3. Step 3: Cross multiply
    1,961.55x = 2,942.38 × 922.04
  4. Step 4: Simplify right side
    1,961.55x = 2,712,992.62
  5. Step 5: Solve for x
    x = 2,712,992.62/1,961.55
  6. Step 6: Final answer
    x = 1,383.09

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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.