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Finding the Fourth Proportional to 2,784.29, 3,841.83 and 1,789.38

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Solution

The fourth proportional to 2,784.29, 3,841.83 and 1,789.38 is: 2,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.29 : 3,841.83 = 1,789.38 : x
  2. Step 2: Convert to fraction form
    2,784.29/3,841.83 = 1,789.38/x
  3. Step 3: Cross multiply
    2,784.29x = 3,841.83 × 1,789.38
  4. Step 4: Simplify right side
    2,784.29x = 6,874,493.77
  5. Step 5: Solve for x
    x = 6,874,493.77/2,784.29
  6. Step 6: Final answer
    x = 2,469.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.