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Finding the Fourth Proportional to 1,891, 2,609.16 and 1,144.96

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Solution

The fourth proportional to 1,891, 2,609.16 and 1,144.96 is: 1,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891 : 2,609.16 = 1,144.96 : x
  2. Step 2: Convert to fraction form
    1,891/2,609.16 = 1,144.96/x
  3. Step 3: Cross multiply
    1,891x = 2,609.16 × 1,144.96
  4. Step 4: Simplify right side
    1,891x = 2,987,383.83
  5. Step 5: Solve for x
    x = 2,987,383.83/1,891
  6. Step 6: Final answer
    x = 1,579.79

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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.