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Finding the Fourth Proportional to 2,276.09, 3,412.73 and 2,082.73

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Solution

The fourth proportional to 2,276.09, 3,412.73 and 2,082.73 is: 3,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.09 : 3,412.73 = 2,082.73 : x
  2. Step 2: Convert to fraction form
    2,276.09/3,412.73 = 2,082.73/x
  3. Step 3: Cross multiply
    2,276.09x = 3,412.73 × 2,082.73
  4. Step 4: Simplify right side
    2,276.09x = 7,107,795.15
  5. Step 5: Solve for x
    x = 7,107,795.15/2,276.09
  6. Step 6: Final answer
    x = 3,122.81

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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.