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Finding the Fourth Proportional to 2,322.78, 3,466.52 and 2,167.26

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Solution

The fourth proportional to 2,322.78, 3,466.52 and 2,167.26 is: 3,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.78 : 3,466.52 = 2,167.26 : x
  2. Step 2: Convert to fraction form
    2,322.78/3,466.52 = 2,167.26/x
  3. Step 3: Cross multiply
    2,322.78x = 3,466.52 × 2,167.26
  4. Step 4: Simplify right side
    2,322.78x = 7,512,850.14
  5. Step 5: Solve for x
    x = 7,512,850.14/2,322.78
  6. Step 6: Final answer
    x = 3,234.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.