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Finding the Fourth Proportional to 2,764.82, 4,147.26 and 817.22

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Solution

The fourth proportional to 2,764.82, 4,147.26 and 817.22 is: 1,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.82 : 4,147.26 = 817.22 : x
  2. Step 2: Convert to fraction form
    2,764.82/4,147.26 = 817.22/x
  3. Step 3: Cross multiply
    2,764.82x = 4,147.26 × 817.22
  4. Step 4: Simplify right side
    2,764.82x = 3,389,223.82
  5. Step 5: Solve for x
    x = 3,389,223.82/2,764.82
  6. Step 6: Final answer
    x = 1,225.84

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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.