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Finding the Fourth Proportional to 2,568.45, 3,850.88 and 1,315.97

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Solution

The fourth proportional to 2,568.45, 3,850.88 and 1,315.97 is: 1,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.45 : 3,850.88 = 1,315.97 : x
  2. Step 2: Convert to fraction form
    2,568.45/3,850.88 = 1,315.97/x
  3. Step 3: Cross multiply
    2,568.45x = 3,850.88 × 1,315.97
  4. Step 4: Simplify right side
    2,568.45x = 5,067,626.59
  5. Step 5: Solve for x
    x = 5,067,626.59/2,568.45
  6. Step 6: Final answer
    x = 1,973.03

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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.