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Finding the Fourth Proportional to 2,614.44, 3,917.22 and 1,296.42

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Solution

The fourth proportional to 2,614.44, 3,917.22 and 1,296.42 is: 1,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.44 : 3,917.22 = 1,296.42 : x
  2. Step 2: Convert to fraction form
    2,614.44/3,917.22 = 1,296.42/x
  3. Step 3: Cross multiply
    2,614.44x = 3,917.22 × 1,296.42
  4. Step 4: Simplify right side
    2,614.44x = 5,078,362.35
  5. Step 5: Solve for x
    x = 5,078,362.35/2,614.44
  6. Step 6: Final answer
    x = 1,942.43

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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.