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Finding the Fourth Proportional to 3,305.10, 4,956.48 and 964.44

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Solution

The fourth proportional to 3,305.10, 4,956.48 and 964.44 is: 1,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.10 : 4,956.48 = 964.44 : x
  2. Step 2: Convert to fraction form
    3,305.10/4,956.48 = 964.44/x
  3. Step 3: Cross multiply
    3,305.10x = 4,956.48 × 964.44
  4. Step 4: Simplify right side
    3,305.10x = 4,780,227.57
  5. Step 5: Solve for x
    x = 4,780,227.57/3,305.10
  6. Step 6: Final answer
    x = 1,446.32

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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.