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Finding the Fourth Proportional to 1,717.38, 2,369.97 and 961.15

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Solution

The fourth proportional to 1,717.38, 2,369.97 and 961.15 is: 1,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.38 : 2,369.97 = 961.15 : x
  2. Step 2: Convert to fraction form
    1,717.38/2,369.97 = 961.15/x
  3. Step 3: Cross multiply
    1,717.38x = 2,369.97 × 961.15
  4. Step 4: Simplify right side
    1,717.38x = 2,277,896.67
  5. Step 5: Solve for x
    x = 2,277,896.67/1,717.38
  6. Step 6: Final answer
    x = 1,326.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.