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Finding the Fourth Proportional to 2,789.22, 4,183.73 and 841.38

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Solution

The fourth proportional to 2,789.22, 4,183.73 and 841.38 is: 1,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.22 : 4,183.73 = 841.38 : x
  2. Step 2: Convert to fraction form
    2,789.22/4,183.73 = 841.38/x
  3. Step 3: Cross multiply
    2,789.22x = 4,183.73 × 841.38
  4. Step 4: Simplify right side
    2,789.22x = 3,520,106.75
  5. Step 5: Solve for x
    x = 3,520,106.75/2,789.22
  6. Step 6: Final answer
    x = 1,262.04

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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.