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Finding the Fourth Proportional to 2,563.89, 3,837.11 and 1,640.08

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Solution

The fourth proportional to 2,563.89, 3,837.11 and 1,640.08 is: 2,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.89 : 3,837.11 = 1,640.08 : x
  2. Step 2: Convert to fraction form
    2,563.89/3,837.11 = 1,640.08/x
  3. Step 3: Cross multiply
    2,563.89x = 3,837.11 × 1,640.08
  4. Step 4: Simplify right side
    2,563.89x = 6,293,167.37
  5. Step 5: Solve for x
    x = 6,293,167.37/2,563.89
  6. Step 6: Final answer
    x = 2,454.54

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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.