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Finding the Fourth Proportional to 2,605.90, 3,906.48 and 961.30

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Solution

The fourth proportional to 2,605.90, 3,906.48 and 961.30 is: 1,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.90 : 3,906.48 = 961.30 : x
  2. Step 2: Convert to fraction form
    2,605.90/3,906.48 = 961.30/x
  3. Step 3: Cross multiply
    2,605.90x = 3,906.48 × 961.30
  4. Step 4: Simplify right side
    2,605.90x = 3,755,299.22
  5. Step 5: Solve for x
    x = 3,755,299.22/2,605.90
  6. Step 6: Final answer
    x = 1,441.08

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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.