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Finding the Fourth Proportional to 2,159, 2,979.42 and 1,331

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Solution

The fourth proportional to 2,159, 2,979.42 and 1,331 is: 1,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159 : 2,979.42 = 1,331 : x
  2. Step 2: Convert to fraction form
    2,159/2,979.42 = 1,331/x
  3. Step 3: Cross multiply
    2,159x = 2,979.42 × 1,331
  4. Step 4: Simplify right side
    2,159x = 3,965,608.02
  5. Step 5: Solve for x
    x = 3,965,608.02/2,159
  6. Step 6: Final answer
    x = 1,836.78

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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.