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Finding the Fourth Proportional to 3,201.86, 4,803.44 and 1,352.97

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Solution

The fourth proportional to 3,201.86, 4,803.44 and 1,352.97 is: 2,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.86 : 4,803.44 = 1,352.97 : x
  2. Step 2: Convert to fraction form
    3,201.86/4,803.44 = 1,352.97/x
  3. Step 3: Cross multiply
    3,201.86x = 4,803.44 × 1,352.97
  4. Step 4: Simplify right side
    3,201.86x = 6,498,903.45
  5. Step 5: Solve for x
    x = 6,498,903.45/3,201.86
  6. Step 6: Final answer
    x = 2,029.73

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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.