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Finding the Fourth Proportional to 2,617.56, 3,612.24 and 1,498.41

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Solution

The fourth proportional to 2,617.56, 3,612.24 and 1,498.41 is: 2,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.56 : 3,612.24 = 1,498.41 : x
  2. Step 2: Convert to fraction form
    2,617.56/3,612.24 = 1,498.41/x
  3. Step 3: Cross multiply
    2,617.56x = 3,612.24 × 1,498.41
  4. Step 4: Simplify right side
    2,617.56x = 5,412,616.54
  5. Step 5: Solve for x
    x = 5,412,616.54/2,617.56
  6. Step 6: Final answer
    x = 2,067.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.