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Finding the Fourth Proportional to 2,644.28, 3,644.87 and 2,083.82

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Solution

The fourth proportional to 2,644.28, 3,644.87 and 2,083.82 is: 2,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.28 : 3,644.87 = 2,083.82 : x
  2. Step 2: Convert to fraction form
    2,644.28/3,644.87 = 2,083.82/x
  3. Step 3: Cross multiply
    2,644.28x = 3,644.87 × 2,083.82
  4. Step 4: Simplify right side
    2,644.28x = 7,595,224.36
  5. Step 5: Solve for x
    x = 7,595,224.36/2,644.28
  6. Step 6: Final answer
    x = 2,872.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.