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Finding the Fourth Proportional to 1,422.26, 1,961.97 and 956.66

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Solution

The fourth proportional to 1,422.26, 1,961.97 and 956.66 is: 1,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.26 : 1,961.97 = 956.66 : x
  2. Step 2: Convert to fraction form
    1,422.26/1,961.97 = 956.66/x
  3. Step 3: Cross multiply
    1,422.26x = 1,961.97 × 956.66
  4. Step 4: Simplify right side
    1,422.26x = 1,876,938.22
  5. Step 5: Solve for x
    x = 1,876,938.22/1,422.26
  6. Step 6: Final answer
    x = 1,319.69

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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.