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Finding the Fourth Proportional to 2,561.67, 3,843.57 and 1,081.26

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Solution

The fourth proportional to 2,561.67, 3,843.57 and 1,081.26 is: 1,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.67 : 3,843.57 = 1,081.26 : x
  2. Step 2: Convert to fraction form
    2,561.67/3,843.57 = 1,081.26/x
  3. Step 3: Cross multiply
    2,561.67x = 3,843.57 × 1,081.26
  4. Step 4: Simplify right side
    2,561.67x = 4,155,898.50
  5. Step 5: Solve for x
    x = 4,155,898.50/2,561.67
  6. Step 6: Final answer
    x = 1,622.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.