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Finding the Fourth Proportional to 3,301.53, 4,951.50 and 960.90

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Solution

The fourth proportional to 3,301.53, 4,951.50 and 960.90 is: 1,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.53 : 4,951.50 = 960.90 : x
  2. Step 2: Convert to fraction form
    3,301.53/4,951.50 = 960.90/x
  3. Step 3: Cross multiply
    3,301.53x = 4,951.50 × 960.90
  4. Step 4: Simplify right side
    3,301.53x = 4,757,896.35
  5. Step 5: Solve for x
    x = 4,757,896.35/3,301.53
  6. Step 6: Final answer
    x = 1,441.12

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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.