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Finding the Fourth Proportional to 2,758.91, 4,138.39 and 2,270.48

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Solution

The fourth proportional to 2,758.91, 4,138.39 and 2,270.48 is: 3,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.91 : 4,138.39 = 2,270.48 : x
  2. Step 2: Convert to fraction form
    2,758.91/4,138.39 = 2,270.48/x
  3. Step 3: Cross multiply
    2,758.91x = 4,138.39 × 2,270.48
  4. Step 4: Simplify right side
    2,758.91x = 9,396,137.15
  5. Step 5: Solve for x
    x = 9,396,137.15/2,758.91
  6. Step 6: Final answer
    x = 3,405.74

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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.