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Finding the Fourth Proportional to 2,757.73, 4,129.91 and 1,297.30

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Solution

The fourth proportional to 2,757.73, 4,129.91 and 1,297.30 is: 1,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.73 : 4,129.91 = 1,297.30 : x
  2. Step 2: Convert to fraction form
    2,757.73/4,129.91 = 1,297.30/x
  3. Step 3: Cross multiply
    2,757.73x = 4,129.91 × 1,297.30
  4. Step 4: Simplify right side
    2,757.73x = 5,357,732.24
  5. Step 5: Solve for x
    x = 5,357,732.24/2,757.73
  6. Step 6: Final answer
    x = 1,942.81

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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.