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Finding the Fourth Proportional to 2,568.74, 3,850.67 and 1,009.73

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Solution

The fourth proportional to 2,568.74, 3,850.67 and 1,009.73 is: 1,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.74 : 3,850.67 = 1,009.73 : x
  2. Step 2: Convert to fraction form
    2,568.74/3,850.67 = 1,009.73/x
  3. Step 3: Cross multiply
    2,568.74x = 3,850.67 × 1,009.73
  4. Step 4: Simplify right side
    2,568.74x = 3,888,149.17
  5. Step 5: Solve for x
    x = 3,888,149.17/2,568.74
  6. Step 6: Final answer
    x = 1,513.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.