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Finding the Fourth Proportional to 2,568.12, 3,852.18 and 2,159.88

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Solution

The fourth proportional to 2,568.12, 3,852.18 and 2,159.88 is: 3,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.12 : 3,852.18 = 2,159.88 : x
  2. Step 2: Convert to fraction form
    2,568.12/3,852.18 = 2,159.88/x
  3. Step 3: Cross multiply
    2,568.12x = 3,852.18 × 2,159.88
  4. Step 4: Simplify right side
    2,568.12x = 8,320,246.54
  5. Step 5: Solve for x
    x = 8,320,246.54/2,568.12
  6. Step 6: Final answer
    x = 3,239.82

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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.