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Finding the Fourth Proportional to 2,839.85, 4,260.38 and 892

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Solution

The fourth proportional to 2,839.85, 4,260.38 and 892 is: 1,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.85 : 4,260.38 = 892 : x
  2. Step 2: Convert to fraction form
    2,839.85/4,260.38 = 892/x
  3. Step 3: Cross multiply
    2,839.85x = 4,260.38 × 892
  4. Step 4: Simplify right side
    2,839.85x = 3,800,258.96
  5. Step 5: Solve for x
    x = 3,800,258.96/2,839.85
  6. Step 6: Final answer
    x = 1,338.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.