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Finding the Fourth Proportional to 2,568.37, 3,850.81 and 1,007.39

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Solution

The fourth proportional to 2,568.37, 3,850.81 and 1,007.39 is: 1,510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.37 : 3,850.81 = 1,007.39 : x
  2. Step 2: Convert to fraction form
    2,568.37/3,850.81 = 1,007.39/x
  3. Step 3: Cross multiply
    2,568.37x = 3,850.81 × 1,007.39
  4. Step 4: Simplify right side
    2,568.37x = 3,879,274.59
  5. Step 5: Solve for x
    x = 3,879,274.59/2,568.37
  6. Step 6: Final answer
    x = 1,510.40

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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.