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Finding the Fourth Proportional to 3,282.28, 4,529.96 and 1,885

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Solution

The fourth proportional to 3,282.28, 4,529.96 and 1,885 is: 2,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.28 : 4,529.96 = 1,885 : x
  2. Step 2: Convert to fraction form
    3,282.28/4,529.96 = 1,885/x
  3. Step 3: Cross multiply
    3,282.28x = 4,529.96 × 1,885
  4. Step 4: Simplify right side
    3,282.28x = 8,538,974.60
  5. Step 5: Solve for x
    x = 8,538,974.60/3,282.28
  6. Step 6: Final answer
    x = 2,601.54

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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.