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Finding the Fourth Proportional to 2,869.62, 3,960.09 and 1,874.31

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Solution

The fourth proportional to 2,869.62, 3,960.09 and 1,874.31 is: 2,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.62 : 3,960.09 = 1,874.31 : x
  2. Step 2: Convert to fraction form
    2,869.62/3,960.09 = 1,874.31/x
  3. Step 3: Cross multiply
    2,869.62x = 3,960.09 × 1,874.31
  4. Step 4: Simplify right side
    2,869.62x = 7,422,436.29
  5. Step 5: Solve for x
    x = 7,422,436.29/2,869.62
  6. Step 6: Final answer
    x = 2,586.56

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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.