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Finding the Fourth Proportional to 2,617.10, 3,611.09 and 1,498.38

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Solution

The fourth proportional to 2,617.10, 3,611.09 and 1,498.38 is: 2,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.10 : 3,611.09 = 1,498.38 : x
  2. Step 2: Convert to fraction form
    2,617.10/3,611.09 = 1,498.38/x
  3. Step 3: Cross multiply
    2,617.10x = 3,611.09 × 1,498.38
  4. Step 4: Simplify right side
    2,617.10x = 5,410,777.54
  5. Step 5: Solve for x
    x = 5,410,777.54/2,617.10
  6. Step 6: Final answer
    x = 2,067.47

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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.