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Finding the Fourth Proportional to 3,162.24, 4,362.06 and 1,981.26

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Solution

The fourth proportional to 3,162.24, 4,362.06 and 1,981.26 is: 2,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.24 : 4,362.06 = 1,981.26 : x
  2. Step 2: Convert to fraction form
    3,162.24/4,362.06 = 1,981.26/x
  3. Step 3: Cross multiply
    3,162.24x = 4,362.06 × 1,981.26
  4. Step 4: Simplify right side
    3,162.24x = 8,642,375.00
  5. Step 5: Solve for x
    x = 8,642,375.00/3,162.24
  6. Step 6: Final answer
    x = 2,732.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.