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Finding the Fourth Proportional to 2,873.66, 3,962.17 and 2,235.78

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Solution

The fourth proportional to 2,873.66, 3,962.17 and 2,235.78 is: 3,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.66 : 3,962.17 = 2,235.78 : x
  2. Step 2: Convert to fraction form
    2,873.66/3,962.17 = 2,235.78/x
  3. Step 3: Cross multiply
    2,873.66x = 3,962.17 × 2,235.78
  4. Step 4: Simplify right side
    2,873.66x = 8,858,540.44
  5. Step 5: Solve for x
    x = 8,858,540.44/2,873.66
  6. Step 6: Final answer
    x = 3,082.67

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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.