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Finding the Fourth Proportional to 1,896.20, 2,844.83 and 663.92

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Solution

The fourth proportional to 1,896.20, 2,844.83 and 663.92 is: 996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.20 : 2,844.83 = 663.92 : x
  2. Step 2: Convert to fraction form
    1,896.20/2,844.83 = 663.92/x
  3. Step 3: Cross multiply
    1,896.20x = 2,844.83 × 663.92
  4. Step 4: Simplify right side
    1,896.20x = 1,888,726.97
  5. Step 5: Solve for x
    x = 1,888,726.97/1,896.20
  6. Step 6: Final answer
    x = 996.06

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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.