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Finding the Fourth Proportional to 2,786.83, 4,180.26 and 2,266.22

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Solution

The fourth proportional to 2,786.83, 4,180.26 and 2,266.22 is: 3,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.83 : 4,180.26 = 2,266.22 : x
  2. Step 2: Convert to fraction form
    2,786.83/4,180.26 = 2,266.22/x
  3. Step 3: Cross multiply
    2,786.83x = 4,180.26 × 2,266.22
  4. Step 4: Simplify right side
    2,786.83x = 9,473,388.82
  5. Step 5: Solve for x
    x = 9,473,388.82/2,786.83
  6. Step 6: Final answer
    x = 3,399.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.