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Finding the Fourth Proportional to 2,727.38, 4,091.63 and 972.42

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Solution

The fourth proportional to 2,727.38, 4,091.63 and 972.42 is: 1,458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.38 : 4,091.63 = 972.42 : x
  2. Step 2: Convert to fraction form
    2,727.38/4,091.63 = 972.42/x
  3. Step 3: Cross multiply
    2,727.38x = 4,091.63 × 972.42
  4. Step 4: Simplify right side
    2,727.38x = 3,978,777.98
  5. Step 5: Solve for x
    x = 3,978,777.98/2,727.38
  6. Step 6: Final answer
    x = 1,458.83

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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.