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Finding the Fourth Proportional to 2,601.71, 3,589.94 and 1,607.31

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Solution

The fourth proportional to 2,601.71, 3,589.94 and 1,607.31 is: 2,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.71 : 3,589.94 = 1,607.31 : x
  2. Step 2: Convert to fraction form
    2,601.71/3,589.94 = 1,607.31/x
  3. Step 3: Cross multiply
    2,601.71x = 3,589.94 × 1,607.31
  4. Step 4: Simplify right side
    2,601.71x = 5,770,138.42
  5. Step 5: Solve for x
    x = 5,770,138.42/2,601.71
  6. Step 6: Final answer
    x = 2,217.83

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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.