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Finding the Fourth Proportional to 3,072.73, 4,610.72 and 1,614.73

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Solution

The fourth proportional to 3,072.73, 4,610.72 and 1,614.73 is: 2,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.73 : 4,610.72 = 1,614.73 : x
  2. Step 2: Convert to fraction form
    3,072.73/4,610.72 = 1,614.73/x
  3. Step 3: Cross multiply
    3,072.73x = 4,610.72 × 1,614.73
  4. Step 4: Simplify right side
    3,072.73x = 7,445,067.91
  5. Step 5: Solve for x
    x = 7,445,067.91/3,072.73
  6. Step 6: Final answer
    x = 2,422.95

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1.5x scale

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.