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Finding the Fourth Proportional to 2,754.54, 4,122.23 and 2,255.18

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Solution

The fourth proportional to 2,754.54, 4,122.23 and 2,255.18 is: 3,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.54 : 4,122.23 = 2,255.18 : x
  2. Step 2: Convert to fraction form
    2,754.54/4,122.23 = 2,255.18/x
  3. Step 3: Cross multiply
    2,754.54x = 4,122.23 × 2,255.18
  4. Step 4: Simplify right side
    2,754.54x = 9,296,338.76
  5. Step 5: Solve for x
    x = 9,296,338.76/2,754.54
  6. Step 6: Final answer
    x = 3,374.92

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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.