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Finding the Fourth Proportional to 2,568.40, 3,846.84 and 1,989.52

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Solution

The fourth proportional to 2,568.40, 3,846.84 and 1,989.52 is: 2,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.40 : 3,846.84 = 1,989.52 : x
  2. Step 2: Convert to fraction form
    2,568.40/3,846.84 = 1,989.52/x
  3. Step 3: Cross multiply
    2,568.40x = 3,846.84 × 1,989.52
  4. Step 4: Simplify right side
    2,568.40x = 7,653,365.12
  5. Step 5: Solve for x
    x = 7,653,365.12/2,568.40
  6. Step 6: Final answer
    x = 2,979.82

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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.