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Finding the Fourth Proportional to 3,306.69, 4,960.50 and 966.86

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Solution

The fourth proportional to 3,306.69, 4,960.50 and 966.86 is: 1,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.69 : 4,960.50 = 966.86 : x
  2. Step 2: Convert to fraction form
    3,306.69/4,960.50 = 966.86/x
  3. Step 3: Cross multiply
    3,306.69x = 4,960.50 × 966.86
  4. Step 4: Simplify right side
    3,306.69x = 4,796,117.81
  5. Step 5: Solve for x
    x = 4,796,117.81/3,306.69
  6. Step 6: Final answer
    x = 1,450.43

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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.