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Finding the Fourth Proportional to 3,270.32, 4,906.29 and 961.82

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Solution

The fourth proportional to 3,270.32, 4,906.29 and 961.82 is: 1,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.32 : 4,906.29 = 961.82 : x
  2. Step 2: Convert to fraction form
    3,270.32/4,906.29 = 961.82/x
  3. Step 3: Cross multiply
    3,270.32x = 4,906.29 × 961.82
  4. Step 4: Simplify right side
    3,270.32x = 4,718,967.85
  5. Step 5: Solve for x
    x = 4,718,967.85/3,270.32
  6. Step 6: Final answer
    x = 1,442.97

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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.