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Finding the Fourth Proportional to 2,032.31, 3,067.55 and 2,032.31

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Solution

The fourth proportional to 2,032.31, 3,067.55 and 2,032.31 is: 3,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.31 : 3,067.55 = 2,032.31 : x
  2. Step 2: Convert to fraction form
    2,032.31/3,067.55 = 2,032.31/x
  3. Step 3: Cross multiply
    2,032.31x = 3,067.55 × 2,032.31
  4. Step 4: Simplify right side
    2,032.31x = 6,234,212.54
  5. Step 5: Solve for x
    x = 6,234,212.54/2,032.31
  6. Step 6: Final answer
    x = 3,067.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.