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Finding the Fourth Proportional to 2,366.72, 3,550.62 and 1,270.82

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Solution

The fourth proportional to 2,366.72, 3,550.62 and 1,270.82 is: 1,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.72 : 3,550.62 = 1,270.82 : x
  2. Step 2: Convert to fraction form
    2,366.72/3,550.62 = 1,270.82/x
  3. Step 3: Cross multiply
    2,366.72x = 3,550.62 × 1,270.82
  4. Step 4: Simplify right side
    2,366.72x = 4,512,198.91
  5. Step 5: Solve for x
    x = 4,512,198.91/2,366.72
  6. Step 6: Final answer
    x = 1,906.52

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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.