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Finding the Fourth Proportional to 1,427.26, 1,968.87 and 961.66

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Solution

The fourth proportional to 1,427.26, 1,968.87 and 961.66 is: 1,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.26 : 1,968.87 = 961.66 : x
  2. Step 2: Convert to fraction form
    1,427.26/1,968.87 = 961.66/x
  3. Step 3: Cross multiply
    1,427.26x = 1,968.87 × 961.66
  4. Step 4: Simplify right side
    1,427.26x = 1,893,383.52
  5. Step 5: Solve for x
    x = 1,893,383.52/1,427.26
  6. Step 6: Final answer
    x = 1,326.59

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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.