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Finding the Fourth Proportional to 2,843.44, 4,267.94 and 1,749.94

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Solution

The fourth proportional to 2,843.44, 4,267.94 and 1,749.94 is: 2,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.44 : 4,267.94 = 1,749.94 : x
  2. Step 2: Convert to fraction form
    2,843.44/4,267.94 = 1,749.94/x
  3. Step 3: Cross multiply
    2,843.44x = 4,267.94 × 1,749.94
  4. Step 4: Simplify right side
    2,843.44x = 7,468,638.92
  5. Step 5: Solve for x
    x = 7,468,638.92/2,843.44
  6. Step 6: Final answer
    x = 2,626.62

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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.