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Finding the Fourth Proportional to 1,961.75, 2,942.17 and 922.47

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Solution

The fourth proportional to 1,961.75, 2,942.17 and 922.47 is: 1,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.75 : 2,942.17 = 922.47 : x
  2. Step 2: Convert to fraction form
    1,961.75/2,942.17 = 922.47/x
  3. Step 3: Cross multiply
    1,961.75x = 2,942.17 × 922.47
  4. Step 4: Simplify right side
    1,961.75x = 2,714,071.96
  5. Step 5: Solve for x
    x = 2,714,071.96/1,961.75
  6. Step 6: Final answer
    x = 1,383.49

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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.