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Finding the Fourth Proportional to 1,961.21, 2,941.52 and 728.33

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Solution

The fourth proportional to 1,961.21, 2,941.52 and 728.33 is: 1,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.21 : 2,941.52 = 728.33 : x
  2. Step 2: Convert to fraction form
    1,961.21/2,941.52 = 728.33/x
  3. Step 3: Cross multiply
    1,961.21x = 2,941.52 × 728.33
  4. Step 4: Simplify right side
    1,961.21x = 2,142,378.91
  5. Step 5: Solve for x
    x = 2,142,378.91/1,961.21
  6. Step 6: Final answer
    x = 1,092.37

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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.