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Finding the Fourth Proportional to 2,638.73, 3,644.54 and 2,109.44

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Solution

The fourth proportional to 2,638.73, 3,644.54 and 2,109.44 is: 2,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.73 : 3,644.54 = 2,109.44 : x
  2. Step 2: Convert to fraction form
    2,638.73/3,644.54 = 2,109.44/x
  3. Step 3: Cross multiply
    2,638.73x = 3,644.54 × 2,109.44
  4. Step 4: Simplify right side
    2,638.73x = 7,687,952.84
  5. Step 5: Solve for x
    x = 7,687,952.84/2,638.73
  6. Step 6: Final answer
    x = 2,913.51

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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.