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Finding the Fourth Proportional to 2,766.11, 3,817.23 and 1,524.11

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Solution

The fourth proportional to 2,766.11, 3,817.23 and 1,524.11 is: 2,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.11 : 3,817.23 = 1,524.11 : x
  2. Step 2: Convert to fraction form
    2,766.11/3,817.23 = 1,524.11/x
  3. Step 3: Cross multiply
    2,766.11x = 3,817.23 × 1,524.11
  4. Step 4: Simplify right side
    2,766.11x = 5,817,868.87
  5. Step 5: Solve for x
    x = 5,817,868.87/2,766.11
  6. Step 6: Final answer
    x = 2,103.27

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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.