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Finding the Fourth Proportional to 2,183.41, 3,272.28 and 884.17

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Solution

The fourth proportional to 2,183.41, 3,272.28 and 884.17 is: 1,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.41 : 3,272.28 = 884.17 : x
  2. Step 2: Convert to fraction form
    2,183.41/3,272.28 = 884.17/x
  3. Step 3: Cross multiply
    2,183.41x = 3,272.28 × 884.17
  4. Step 4: Simplify right side
    2,183.41x = 2,893,251.81
  5. Step 5: Solve for x
    x = 2,893,251.81/2,183.41
  6. Step 6: Final answer
    x = 1,325.11

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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.