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Finding the Fourth Proportional to 2,759.13, 4,138.16 and 810.81

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Solution

The fourth proportional to 2,759.13, 4,138.16 and 810.81 is: 1,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.13 : 4,138.16 = 810.81 : x
  2. Step 2: Convert to fraction form
    2,759.13/4,138.16 = 810.81/x
  3. Step 3: Cross multiply
    2,759.13x = 4,138.16 × 810.81
  4. Step 4: Simplify right side
    2,759.13x = 3,355,257.46
  5. Step 5: Solve for x
    x = 3,355,257.46/2,759.13
  6. Step 6: Final answer
    x = 1,216.06

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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.