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Finding the Fourth Proportional to 2,753.62, 4,120.84 and 2,254.26

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Solution

The fourth proportional to 2,753.62, 4,120.84 and 2,254.26 is: 3,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.62 : 4,120.84 = 2,254.26 : x
  2. Step 2: Convert to fraction form
    2,753.62/4,120.84 = 2,254.26/x
  3. Step 3: Cross multiply
    2,753.62x = 4,120.84 × 2,254.26
  4. Step 4: Simplify right side
    2,753.62x = 9,289,444.78
  5. Step 5: Solve for x
    x = 9,289,444.78/2,753.62
  6. Step 6: Final answer
    x = 3,373.54

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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.