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Finding the Fourth Proportional to 2,568.66, 3,854.34 and 1,399.50

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Solution

The fourth proportional to 2,568.66, 3,854.34 and 1,399.50 is: 2,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.66 : 3,854.34 = 1,399.50 : x
  2. Step 2: Convert to fraction form
    2,568.66/3,854.34 = 1,399.50/x
  3. Step 3: Cross multiply
    2,568.66x = 3,854.34 × 1,399.50
  4. Step 4: Simplify right side
    2,568.66x = 5,394,148.83
  5. Step 5: Solve for x
    x = 5,394,148.83/2,568.66
  6. Step 6: Final answer
    x = 2,099.99

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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.