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Finding the Fourth Proportional to 2,522.08, 3,784.20 and 2,213.20

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Solution

The fourth proportional to 2,522.08, 3,784.20 and 2,213.20 is: 3,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.08 : 3,784.20 = 2,213.20 : x
  2. Step 2: Convert to fraction form
    2,522.08/3,784.20 = 2,213.20/x
  3. Step 3: Cross multiply
    2,522.08x = 3,784.20 × 2,213.20
  4. Step 4: Simplify right side
    2,522.08x = 8,375,191.44
  5. Step 5: Solve for x
    x = 8,375,191.44/2,522.08
  6. Step 6: Final answer
    x = 3,320.75

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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.