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Finding the Fourth Proportional to 2,149.54, 3,201.17 and 2,076.64

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Solution

The fourth proportional to 2,149.54, 3,201.17 and 2,076.64 is: 3,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.54 : 3,201.17 = 2,076.64 : x
  2. Step 2: Convert to fraction form
    2,149.54/3,201.17 = 2,076.64/x
  3. Step 3: Cross multiply
    2,149.54x = 3,201.17 × 2,076.64
  4. Step 4: Simplify right side
    2,149.54x = 6,647,677.67
  5. Step 5: Solve for x
    x = 6,647,677.67/2,149.54
  6. Step 6: Final answer
    x = 3,092.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.