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Finding the Fourth Proportional to 2,754.62, 4,122.34 and 2,255.26

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Solution

The fourth proportional to 2,754.62, 4,122.34 and 2,255.26 is: 3,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.62 : 4,122.34 = 2,255.26 : x
  2. Step 2: Convert to fraction form
    2,754.62/4,122.34 = 2,255.26/x
  3. Step 3: Cross multiply
    2,754.62x = 4,122.34 × 2,255.26
  4. Step 4: Simplify right side
    2,754.62x = 9,296,948.51
  5. Step 5: Solve for x
    x = 9,296,948.51/2,754.62
  6. Step 6: Final answer
    x = 3,375.04

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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.