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Finding the Fourth Proportional to 1,960.55, 2,941.20 and 727.97

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Solution

The fourth proportional to 1,960.55, 2,941.20 and 727.97 is: 1,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.55 : 2,941.20 = 727.97 : x
  2. Step 2: Convert to fraction form
    1,960.55/2,941.20 = 727.97/x
  3. Step 3: Cross multiply
    1,960.55x = 2,941.20 × 727.97
  4. Step 4: Simplify right side
    1,960.55x = 2,141,105.36
  5. Step 5: Solve for x
    x = 2,141,105.36/1,960.55
  6. Step 6: Final answer
    x = 1,092.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.