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Finding the Fourth Proportional to 1,961.96, 2,940.24 and 1,411.70

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Solution

The fourth proportional to 1,961.96, 2,940.24 and 1,411.70 is: 2,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.96 : 2,940.24 = 1,411.70 : x
  2. Step 2: Convert to fraction form
    1,961.96/2,940.24 = 1,411.70/x
  3. Step 3: Cross multiply
    1,961.96x = 2,940.24 × 1,411.70
  4. Step 4: Simplify right side
    1,961.96x = 4,150,736.81
  5. Step 5: Solve for x
    x = 4,150,736.81/1,961.96
  6. Step 6: Final answer
    x = 2,115.61

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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.