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Finding the Fourth Proportional to 3,067.86, 4,601.76 and 2,032.50

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Solution

The fourth proportional to 3,067.86, 4,601.76 and 2,032.50 is: 3,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.86 : 4,601.76 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    3,067.86/4,601.76 = 2,032.50/x
  3. Step 3: Cross multiply
    3,067.86x = 4,601.76 × 2,032.50
  4. Step 4: Simplify right side
    3,067.86x = 9,353,077.20
  5. Step 5: Solve for x
    x = 9,353,077.20/3,067.86
  6. Step 6: Final answer
    x = 3,048.73

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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.