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Finding the Fourth Proportional to 3,305.44, 4,956.97 and 964.83

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Solution

The fourth proportional to 3,305.44, 4,956.97 and 964.83 is: 1,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.44 : 4,956.97 = 964.83 : x
  2. Step 2: Convert to fraction form
    3,305.44/4,956.97 = 964.83/x
  3. Step 3: Cross multiply
    3,305.44x = 4,956.97 × 964.83
  4. Step 4: Simplify right side
    3,305.44x = 4,782,633.37
  5. Step 5: Solve for x
    x = 4,782,633.37/3,305.44
  6. Step 6: Final answer
    x = 1,446.90

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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.