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Finding the Fourth Proportional to 2,331.88, 3,497.81 and 1,599.23

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Solution

The fourth proportional to 2,331.88, 3,497.81 and 1,599.23 is: 2,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.88 : 3,497.81 = 1,599.23 : x
  2. Step 2: Convert to fraction form
    2,331.88/3,497.81 = 1,599.23/x
  3. Step 3: Cross multiply
    2,331.88x = 3,497.81 × 1,599.23
  4. Step 4: Simplify right side
    2,331.88x = 5,593,815.43
  5. Step 5: Solve for x
    x = 5,593,815.43/2,331.88
  6. Step 6: Final answer
    x = 2,398.85

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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.