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Finding the Fourth Proportional to 1,961.18, 2,942.24 and 662.66

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Solution

The fourth proportional to 1,961.18, 2,942.24 and 662.66 is: 994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.18 : 2,942.24 = 662.66 : x
  2. Step 2: Convert to fraction form
    1,961.18/2,942.24 = 662.66/x
  3. Step 3: Cross multiply
    1,961.18x = 2,942.24 × 662.66
  4. Step 4: Simplify right side
    1,961.18x = 1,949,704.76
  5. Step 5: Solve for x
    x = 1,949,704.76/1,961.18
  6. Step 6: Final answer
    x = 994.15

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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.