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Finding the Fourth Proportional to 2,826.96, 4,239.67 and 1,183.17

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Solution

The fourth proportional to 2,826.96, 4,239.67 and 1,183.17 is: 1,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.96 : 4,239.67 = 1,183.17 : x
  2. Step 2: Convert to fraction form
    2,826.96/4,239.67 = 1,183.17/x
  3. Step 3: Cross multiply
    2,826.96x = 4,239.67 × 1,183.17
  4. Step 4: Simplify right side
    2,826.96x = 5,016,250.35
  5. Step 5: Solve for x
    x = 5,016,250.35/2,826.96
  6. Step 6: Final answer
    x = 1,774.43

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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.