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Finding the Fourth Proportional to 2,137, 3,201.86 and 1,517.64

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Solution

The fourth proportional to 2,137, 3,201.86 and 1,517.64 is: 2,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137 : 3,201.86 = 1,517.64 : x
  2. Step 2: Convert to fraction form
    2,137/3,201.86 = 1,517.64/x
  3. Step 3: Cross multiply
    2,137x = 3,201.86 × 1,517.64
  4. Step 4: Simplify right side
    2,137x = 4,859,270.81
  5. Step 5: Solve for x
    x = 4,859,270.81/2,137
  6. Step 6: Final answer
    x = 2,273.87

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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.