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Finding the Fourth Proportional to 1,961.58, 2,940.78 and 1,343.76

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Solution

The fourth proportional to 1,961.58, 2,940.78 and 1,343.76 is: 2,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.58 : 2,940.78 = 1,343.76 : x
  2. Step 2: Convert to fraction form
    1,961.58/2,940.78 = 1,343.76/x
  3. Step 3: Cross multiply
    1,961.58x = 2,940.78 × 1,343.76
  4. Step 4: Simplify right side
    1,961.58x = 3,951,702.53
  5. Step 5: Solve for x
    x = 3,951,702.53/1,961.58
  6. Step 6: Final answer
    x = 2,014.55

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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.