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Finding the Fourth Proportional to 1,633.54, 2,449.80 and 537.67

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Solution

The fourth proportional to 1,633.54, 2,449.80 and 537.67 is: 806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.54 : 2,449.80 = 537.67 : x
  2. Step 2: Convert to fraction form
    1,633.54/2,449.80 = 537.67/x
  3. Step 3: Cross multiply
    1,633.54x = 2,449.80 × 537.67
  4. Step 4: Simplify right side
    1,633.54x = 1,317,183.97
  5. Step 5: Solve for x
    x = 1,317,183.97/1,633.54
  6. Step 6: Final answer
    x = 806.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.