Home / 3,286.12-4,929.14-820.92

Finding the Fourth Proportional to 3,286.12, 4,929.14 and 820.92

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Solution

The fourth proportional to 3,286.12, 4,929.14 and 820.92 is: 1,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.12 : 4,929.14 = 820.92 : x
  2. Step 2: Convert to fraction form
    3,286.12/4,929.14 = 820.92/x
  3. Step 3: Cross multiply
    3,286.12x = 4,929.14 × 820.92
  4. Step 4: Simplify right side
    3,286.12x = 4,046,420.36
  5. Step 5: Solve for x
    x = 4,046,420.36/3,286.12
  6. Step 6: Final answer
    x = 1,231.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.