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Finding the Fourth Proportional to 2,633.52, 3,949.83 and 967.32

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Solution

The fourth proportional to 2,633.52, 3,949.83 and 967.32 is: 1,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.52 : 3,949.83 = 967.32 : x
  2. Step 2: Convert to fraction form
    2,633.52/3,949.83 = 967.32/x
  3. Step 3: Cross multiply
    2,633.52x = 3,949.83 × 967.32
  4. Step 4: Simplify right side
    2,633.52x = 3,820,749.56
  5. Step 5: Solve for x
    x = 3,820,749.56/2,633.52
  6. Step 6: Final answer
    x = 1,450.81

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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.