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Finding the Fourth Proportional to 2,296.27, 3,165.22 and 2,105.59

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Solution

The fourth proportional to 2,296.27, 3,165.22 and 2,105.59 is: 2,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.27 : 3,165.22 = 2,105.59 : x
  2. Step 2: Convert to fraction form
    2,296.27/3,165.22 = 2,105.59/x
  3. Step 3: Cross multiply
    2,296.27x = 3,165.22 × 2,105.59
  4. Step 4: Simplify right side
    2,296.27x = 6,664,629.23
  5. Step 5: Solve for x
    x = 6,664,629.23/2,296.27
  6. Step 6: Final answer
    x = 2,902.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.