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Finding the Fourth Proportional to 3,022.08, 4,170.16 and 2,027.16

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Solution

The fourth proportional to 3,022.08, 4,170.16 and 2,027.16 is: 2,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.08 : 4,170.16 = 2,027.16 : x
  2. Step 2: Convert to fraction form
    3,022.08/4,170.16 = 2,027.16/x
  3. Step 3: Cross multiply
    3,022.08x = 4,170.16 × 2,027.16
  4. Step 4: Simplify right side
    3,022.08x = 8,453,581.55
  5. Step 5: Solve for x
    x = 8,453,581.55/3,022.08
  6. Step 6: Final answer
    x = 2,797.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.