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Finding the Fourth Proportional to 2,568.17, 3,850.79 and 812.84

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Solution

The fourth proportional to 2,568.17, 3,850.79 and 812.84 is: 1,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.17 : 3,850.79 = 812.84 : x
  2. Step 2: Convert to fraction form
    2,568.17/3,850.79 = 812.84/x
  3. Step 3: Cross multiply
    2,568.17x = 3,850.79 × 812.84
  4. Step 4: Simplify right side
    2,568.17x = 3,130,057.40
  5. Step 5: Solve for x
    x = 3,130,057.40/2,568.17
  6. Step 6: Final answer
    x = 1,218.79

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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.