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Finding the Fourth Proportional to 3,306.89, 4,960.54 and 966.84

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Solution

The fourth proportional to 3,306.89, 4,960.54 and 966.84 is: 1,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.89 : 4,960.54 = 966.84 : x
  2. Step 2: Convert to fraction form
    3,306.89/4,960.54 = 966.84/x
  3. Step 3: Cross multiply
    3,306.89x = 4,960.54 × 966.84
  4. Step 4: Simplify right side
    3,306.89x = 4,796,031.10
  5. Step 5: Solve for x
    x = 4,796,031.10/3,306.89
  6. Step 6: Final answer
    x = 1,450.31

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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.