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Finding the Fourth Proportional to 1,960.42, 2,940.42 and 727.60

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Solution

The fourth proportional to 1,960.42, 2,940.42 and 727.60 is: 1,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.42 : 2,940.42 = 727.60 : x
  2. Step 2: Convert to fraction form
    1,960.42/2,940.42 = 727.60/x
  3. Step 3: Cross multiply
    1,960.42x = 2,940.42 × 727.60
  4. Step 4: Simplify right side
    1,960.42x = 2,139,449.59
  5. Step 5: Solve for x
    x = 2,139,449.59/1,960.42
  6. Step 6: Final answer
    x = 1,091.32

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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.