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Finding the Fourth Proportional to 2,366.72, 3,550.64 and 1,270.80

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Solution

The fourth proportional to 2,366.72, 3,550.64 and 1,270.80 is: 1,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.72 : 3,550.64 = 1,270.80 : x
  2. Step 2: Convert to fraction form
    2,366.72/3,550.64 = 1,270.80/x
  3. Step 3: Cross multiply
    2,366.72x = 3,550.64 × 1,270.80
  4. Step 4: Simplify right side
    2,366.72x = 4,512,153.31
  5. Step 5: Solve for x
    x = 4,512,153.31/2,366.72
  6. Step 6: Final answer
    x = 1,906.50

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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.