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Finding the Fourth Proportional to 2,606.25, 3,910.01 and 1,067.25

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Solution

The fourth proportional to 2,606.25, 3,910.01 and 1,067.25 is: 1,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.25 : 3,910.01 = 1,067.25 : x
  2. Step 2: Convert to fraction form
    2,606.25/3,910.01 = 1,067.25/x
  3. Step 3: Cross multiply
    2,606.25x = 3,910.01 × 1,067.25
  4. Step 4: Simplify right side
    2,606.25x = 4,172,952.84
  5. Step 5: Solve for x
    x = 4,172,952.84/2,606.25
  6. Step 6: Final answer
    x = 1,601.13

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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.