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Finding the Fourth Proportional to 2,296.25, 3,452.67 and 2,115.82

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Solution

The fourth proportional to 2,296.25, 3,452.67 and 2,115.82 is: 3,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.25 : 3,452.67 = 2,115.82 : x
  2. Step 2: Convert to fraction form
    2,296.25/3,452.67 = 2,115.82/x
  3. Step 3: Cross multiply
    2,296.25x = 3,452.67 × 2,115.82
  4. Step 4: Simplify right side
    2,296.25x = 7,305,228.24
  5. Step 5: Solve for x
    x = 7,305,228.24/2,296.25
  6. Step 6: Final answer
    x = 3,181.37

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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.