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Finding the Fourth Proportional to 2,580.87, 3,865.09 and 1,640.54

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Solution

The fourth proportional to 2,580.87, 3,865.09 and 1,640.54 is: 2,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.87 : 3,865.09 = 1,640.54 : x
  2. Step 2: Convert to fraction form
    2,580.87/3,865.09 = 1,640.54/x
  3. Step 3: Cross multiply
    2,580.87x = 3,865.09 × 1,640.54
  4. Step 4: Simplify right side
    2,580.87x = 6,340,834.75
  5. Step 5: Solve for x
    x = 6,340,834.75/2,580.87
  6. Step 6: Final answer
    x = 2,456.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.