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Finding the Fourth Proportional to 2,759.22, 4,138.20 and 810.96

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Solution

The fourth proportional to 2,759.22, 4,138.20 and 810.96 is: 1,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.22 : 4,138.20 = 810.96 : x
  2. Step 2: Convert to fraction form
    2,759.22/4,138.20 = 810.96/x
  3. Step 3: Cross multiply
    2,759.22x = 4,138.20 × 810.96
  4. Step 4: Simplify right side
    2,759.22x = 3,355,914.67
  5. Step 5: Solve for x
    x = 3,355,914.67/2,759.22
  6. Step 6: Final answer
    x = 1,216.25

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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.