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Finding the Fourth Proportional to 2,282.91, 3,424.83 and 822.07

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Solution

The fourth proportional to 2,282.91, 3,424.83 and 822.07 is: 1,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.91 : 3,424.83 = 822.07 : x
  2. Step 2: Convert to fraction form
    2,282.91/3,424.83 = 822.07/x
  3. Step 3: Cross multiply
    2,282.91x = 3,424.83 × 822.07
  4. Step 4: Simplify right side
    2,282.91x = 2,815,450.00
  5. Step 5: Solve for x
    x = 2,815,450.00/2,282.91
  6. Step 6: Final answer
    x = 1,233.27

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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.