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Finding the Fourth Proportional to 2,568.33, 3,852.62 and 1,008.19

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Solution

The fourth proportional to 2,568.33, 3,852.62 and 1,008.19 is: 1,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.33 : 3,852.62 = 1,008.19 : x
  2. Step 2: Convert to fraction form
    2,568.33/3,852.62 = 1,008.19/x
  3. Step 3: Cross multiply
    2,568.33x = 3,852.62 × 1,008.19
  4. Step 4: Simplify right side
    2,568.33x = 3,884,167.92
  5. Step 5: Solve for x
    x = 3,884,167.92/2,568.33
  6. Step 6: Final answer
    x = 1,512.34

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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.