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Finding the Fourth Proportional to 2,149.78, 3,227.64 and 1,110.64

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Solution

The fourth proportional to 2,149.78, 3,227.64 and 1,110.64 is: 1,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.78 : 3,227.64 = 1,110.64 : x
  2. Step 2: Convert to fraction form
    2,149.78/3,227.64 = 1,110.64/x
  3. Step 3: Cross multiply
    2,149.78x = 3,227.64 × 1,110.64
  4. Step 4: Simplify right side
    2,149.78x = 3,584,746.09
  5. Step 5: Solve for x
    x = 3,584,746.09/2,149.78
  6. Step 6: Final answer
    x = 1,667.49

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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.