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Finding the Fourth Proportional to 2,843.86, 4,267.38 and 1,200.27

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Solution

The fourth proportional to 2,843.86, 4,267.38 and 1,200.27 is: 1,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.86 : 4,267.38 = 1,200.27 : x
  2. Step 2: Convert to fraction form
    2,843.86/4,267.38 = 1,200.27/x
  3. Step 3: Cross multiply
    2,843.86x = 4,267.38 × 1,200.27
  4. Step 4: Simplify right side
    2,843.86x = 5,122,004.69
  5. Step 5: Solve for x
    x = 5,122,004.69/2,843.86
  6. Step 6: Final answer
    x = 1,801.08

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