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Finding the Fourth Proportional to 3,073.31, 4,610.27 and 992.82

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Solution

The fourth proportional to 3,073.31, 4,610.27 and 992.82 is: 1,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.31 : 4,610.27 = 992.82 : x
  2. Step 2: Convert to fraction form
    3,073.31/4,610.27 = 992.82/x
  3. Step 3: Cross multiply
    3,073.31x = 4,610.27 × 992.82
  4. Step 4: Simplify right side
    3,073.31x = 4,577,163.30
  5. Step 5: Solve for x
    x = 4,577,163.30/3,073.31
  6. Step 6: Final answer
    x = 1,489.33

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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.