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Finding the Fourth Proportional to 2,757.85, 3,805.24 and 2,011.99

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Solution

The fourth proportional to 2,757.85, 3,805.24 and 2,011.99 is: 2,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.85 : 3,805.24 = 2,011.99 : x
  2. Step 2: Convert to fraction form
    2,757.85/3,805.24 = 2,011.99/x
  3. Step 3: Cross multiply
    2,757.85x = 3,805.24 × 2,011.99
  4. Step 4: Simplify right side
    2,757.85x = 7,656,104.83
  5. Step 5: Solve for x
    x = 7,656,104.83/2,757.85
  6. Step 6: Final answer
    x = 2,776.11

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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.