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Finding the Fourth Proportional to 2,159.22, 2,979.71 and 1,227.72

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Solution

The fourth proportional to 2,159.22, 2,979.71 and 1,227.72 is: 1,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.22 : 2,979.71 = 1,227.72 : x
  2. Step 2: Convert to fraction form
    2,159.22/2,979.71 = 1,227.72/x
  3. Step 3: Cross multiply
    2,159.22x = 2,979.71 × 1,227.72
  4. Step 4: Simplify right side
    2,159.22x = 3,658,249.56
  5. Step 5: Solve for x
    x = 3,658,249.56/2,159.22
  6. Step 6: Final answer
    x = 1,694.25

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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.