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Finding the Fourth Proportional to 2,768.11, 3,824.85 and 2,213.16

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Solution

The fourth proportional to 2,768.11, 3,824.85 and 2,213.16 is: 3,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.11 : 3,824.85 = 2,213.16 : x
  2. Step 2: Convert to fraction form
    2,768.11/3,824.85 = 2,213.16/x
  3. Step 3: Cross multiply
    2,768.11x = 3,824.85 × 2,213.16
  4. Step 4: Simplify right side
    2,768.11x = 8,465,005.03
  5. Step 5: Solve for x
    x = 8,465,005.03/2,768.11
  6. Step 6: Final answer
    x = 3,058.05

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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.