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Finding the Fourth Proportional to 2,813.50, 3,882.81 and 1,766.26

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Solution

The fourth proportional to 2,813.50, 3,882.81 and 1,766.26 is: 2,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.50 : 3,882.81 = 1,766.26 : x
  2. Step 2: Convert to fraction form
    2,813.50/3,882.81 = 1,766.26/x
  3. Step 3: Cross multiply
    2,813.50x = 3,882.81 × 1,766.26
  4. Step 4: Simplify right side
    2,813.50x = 6,858,051.99
  5. Step 5: Solve for x
    x = 6,858,051.99/2,813.50
  6. Step 6: Final answer
    x = 2,437.55

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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.