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Finding the Fourth Proportional to 1,961.54, 2,941.74 and 728.24

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Solution

The fourth proportional to 1,961.54, 2,941.74 and 728.24 is: 1,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.54 : 2,941.74 = 728.24 : x
  2. Step 2: Convert to fraction form
    1,961.54/2,941.74 = 728.24/x
  3. Step 3: Cross multiply
    1,961.54x = 2,941.74 × 728.24
  4. Step 4: Simplify right side
    1,961.54x = 2,142,296.62
  5. Step 5: Solve for x
    x = 2,142,296.62/1,961.54
  6. Step 6: Final answer
    x = 1,092.15

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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.