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Finding the Fourth Proportional to 1,426.26, 1,967.22 and 927.97

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Solution

The fourth proportional to 1,426.26, 1,967.22 and 927.97 is: 1,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.26 : 1,967.22 = 927.97 : x
  2. Step 2: Convert to fraction form
    1,426.26/1,967.22 = 927.97/x
  3. Step 3: Cross multiply
    1,426.26x = 1,967.22 × 927.97
  4. Step 4: Simplify right side
    1,426.26x = 1,825,521.14
  5. Step 5: Solve for x
    x = 1,825,521.14/1,426.26
  6. Step 6: Final answer
    x = 1,279.94

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