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Finding the Fourth Proportional to 1,563.78, 2,157.67 and 996.83

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Solution

The fourth proportional to 1,563.78, 2,157.67 and 996.83 is: 1,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.78 : 2,157.67 = 996.83 : x
  2. Step 2: Convert to fraction form
    1,563.78/2,157.67 = 996.83/x
  3. Step 3: Cross multiply
    1,563.78x = 2,157.67 × 996.83
  4. Step 4: Simplify right side
    1,563.78x = 2,150,826.56
  5. Step 5: Solve for x
    x = 2,150,826.56/1,563.78
  6. Step 6: Final answer
    x = 1,375.41

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