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Finding the Fourth Proportional to 2,757.88, 3,805.89 and 1,638.87

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Solution

The fourth proportional to 2,757.88, 3,805.89 and 1,638.87 is: 2,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.88 : 3,805.89 = 1,638.87 : x
  2. Step 2: Convert to fraction form
    2,757.88/3,805.89 = 1,638.87/x
  3. Step 3: Cross multiply
    2,757.88x = 3,805.89 × 1,638.87
  4. Step 4: Simplify right side
    2,757.88x = 6,237,358.94
  5. Step 5: Solve for x
    x = 6,237,358.94/2,757.88
  6. Step 6: Final answer
    x = 2,261.65

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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.