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Finding the Fourth Proportional to 2,767.94, 3,816.08 and 2,236.22

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Solution

The fourth proportional to 2,767.94, 3,816.08 and 2,236.22 is: 3,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.94 : 3,816.08 = 2,236.22 : x
  2. Step 2: Convert to fraction form
    2,767.94/3,816.08 = 2,236.22/x
  3. Step 3: Cross multiply
    2,767.94x = 3,816.08 × 2,236.22
  4. Step 4: Simplify right side
    2,767.94x = 8,533,609.55
  5. Step 5: Solve for x
    x = 8,533,609.55/2,767.94
  6. Step 6: Final answer
    x = 3,083.02

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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.