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Finding the Fourth Proportional to 1,793, 2,474.50 and 996.58

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Solution

The fourth proportional to 1,793, 2,474.50 and 996.58 is: 1,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793 : 2,474.50 = 996.58 : x
  2. Step 2: Convert to fraction form
    1,793/2,474.50 = 996.58/x
  3. Step 3: Cross multiply
    1,793x = 2,474.50 × 996.58
  4. Step 4: Simplify right side
    1,793x = 2,466,037.21
  5. Step 5: Solve for x
    x = 2,466,037.21/1,793
  6. Step 6: Final answer
    x = 1,375.37

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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.