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Finding the Fourth Proportional to 1,961.16, 2,942.60 and 728.30

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Solution

The fourth proportional to 1,961.16, 2,942.60 and 728.30 is: 1,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.16 : 2,942.60 = 728.30 : x
  2. Step 2: Convert to fraction form
    1,961.16/2,942.60 = 728.30/x
  3. Step 3: Cross multiply
    1,961.16x = 2,942.60 × 728.30
  4. Step 4: Simplify right side
    1,961.16x = 2,143,077.23
  5. Step 5: Solve for x
    x = 2,143,077.23/1,961.16
  6. Step 6: Final answer
    x = 1,092.76

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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.