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Finding the Fourth Proportional to 2,606.09, 3,906.38 and 961.58

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Solution

The fourth proportional to 2,606.09, 3,906.38 and 961.58 is: 1,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.09 : 3,906.38 = 961.58 : x
  2. Step 2: Convert to fraction form
    2,606.09/3,906.38 = 961.58/x
  3. Step 3: Cross multiply
    2,606.09x = 3,906.38 × 961.58
  4. Step 4: Simplify right side
    2,606.09x = 3,756,272.54
  5. Step 5: Solve for x
    x = 3,756,272.54/2,606.09
  6. Step 6: Final answer
    x = 1,441.35

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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.