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Finding the Fourth Proportional to 2,281.39, 3,422.09 and 550.02

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Solution

The fourth proportional to 2,281.39, 3,422.09 and 550.02 is: 825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.39 : 3,422.09 = 550.02 : x
  2. Step 2: Convert to fraction form
    2,281.39/3,422.09 = 550.02/x
  3. Step 3: Cross multiply
    2,281.39x = 3,422.09 × 550.02
  4. Step 4: Simplify right side
    2,281.39x = 1,882,217.94
  5. Step 5: Solve for x
    x = 1,882,217.94/2,281.39
  6. Step 6: Final answer
    x = 825.03

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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.