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Finding the Fourth Proportional to 2,728.56, 4,092.78 and 1,189.56

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Solution

The fourth proportional to 2,728.56, 4,092.78 and 1,189.56 is: 1,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.56 : 4,092.78 = 1,189.56 : x
  2. Step 2: Convert to fraction form
    2,728.56/4,092.78 = 1,189.56/x
  3. Step 3: Cross multiply
    2,728.56x = 4,092.78 × 1,189.56
  4. Step 4: Simplify right side
    2,728.56x = 4,868,607.38
  5. Step 5: Solve for x
    x = 4,868,607.38/2,728.56
  6. Step 6: Final answer
    x = 1,784.31

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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.