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Finding the Fourth Proportional to 2,836.77, 3,910.48 and 2,238.23

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Solution

The fourth proportional to 2,836.77, 3,910.48 and 2,238.23 is: 3,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.77 : 3,910.48 = 2,238.23 : x
  2. Step 2: Convert to fraction form
    2,836.77/3,910.48 = 2,238.23/x
  3. Step 3: Cross multiply
    2,836.77x = 3,910.48 × 2,238.23
  4. Step 4: Simplify right side
    2,836.77x = 8,752,557.83
  5. Step 5: Solve for x
    x = 8,752,557.83/2,836.77
  6. Step 6: Final answer
    x = 3,085.39

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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.