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Finding the Fourth Proportional to 2,863.00, 3,951.41 and 1,744.37

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Solution

The fourth proportional to 2,863.00, 3,951.41 and 1,744.37 is: 2,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.00 : 3,951.41 = 1,744.37 : x
  2. Step 2: Convert to fraction form
    2,863.00/3,951.41 = 1,744.37/x
  3. Step 3: Cross multiply
    2,863.00x = 3,951.41 × 1,744.37
  4. Step 4: Simplify right side
    2,863.00x = 6,892,705.67
  5. Step 5: Solve for x
    x = 6,892,705.67/2,863.00
  6. Step 6: Final answer
    x = 2,407.51

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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.