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Finding the Fourth Proportional to 3,301.07, 4,951.93 and 961.09

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Solution

The fourth proportional to 3,301.07, 4,951.93 and 961.09 is: 1,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.07 : 4,951.93 = 961.09 : x
  2. Step 2: Convert to fraction form
    3,301.07/4,951.93 = 961.09/x
  3. Step 3: Cross multiply
    3,301.07x = 4,951.93 × 961.09
  4. Step 4: Simplify right side
    3,301.07x = 4,759,250.40
  5. Step 5: Solve for x
    x = 4,759,250.40/3,301.07
  6. Step 6: Final answer
    x = 1,441.73

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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.