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Finding the Fourth Proportional to 2,568.11, 3,852.74 and 813.22

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Solution

The fourth proportional to 2,568.11, 3,852.74 and 813.22 is: 1,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.11 : 3,852.74 = 813.22 : x
  2. Step 2: Convert to fraction form
    2,568.11/3,852.74 = 813.22/x
  3. Step 3: Cross multiply
    2,568.11x = 3,852.74 × 813.22
  4. Step 4: Simplify right side
    2,568.11x = 3,133,125.22
  5. Step 5: Solve for x
    x = 3,133,125.22/2,568.11
  6. Step 6: Final answer
    x = 1,220.01

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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.