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Finding the Fourth Proportional to 3,301.44, 4,951.68 and 961.28

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Solution

The fourth proportional to 3,301.44, 4,951.68 and 961.28 is: 1,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.44 : 4,951.68 = 961.28 : x
  2. Step 2: Convert to fraction form
    3,301.44/4,951.68 = 961.28/x
  3. Step 3: Cross multiply
    3,301.44x = 4,951.68 × 961.28
  4. Step 4: Simplify right side
    3,301.44x = 4,759,950.95
  5. Step 5: Solve for x
    x = 4,759,950.95/3,301.44
  6. Step 6: Final answer
    x = 1,441.78

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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.