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Finding the Fourth Proportional to 2,398.65, 3,593.27 and 2,137.43

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Solution

The fourth proportional to 2,398.65, 3,593.27 and 2,137.43 is: 3,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.65 : 3,593.27 = 2,137.43 : x
  2. Step 2: Convert to fraction form
    2,398.65/3,593.27 = 2,137.43/x
  3. Step 3: Cross multiply
    2,398.65x = 3,593.27 × 2,137.43
  4. Step 4: Simplify right side
    2,398.65x = 7,680,334.44
  5. Step 5: Solve for x
    x = 7,680,334.44/2,398.65
  6. Step 6: Final answer
    x = 3,201.94

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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.