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Finding the Fourth Proportional to 2,568.62, 3,852.66 and 1,008.30

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Solution

The fourth proportional to 2,568.62, 3,852.66 and 1,008.30 is: 1,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.62 : 3,852.66 = 1,008.30 : x
  2. Step 2: Convert to fraction form
    2,568.62/3,852.66 = 1,008.30/x
  3. Step 3: Cross multiply
    2,568.62x = 3,852.66 × 1,008.30
  4. Step 4: Simplify right side
    2,568.62x = 3,884,637.08
  5. Step 5: Solve for x
    x = 3,884,637.08/2,568.62
  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.