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Finding the Fourth Proportional to 2,011.82, 3,017.39 and 550.67

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Solution

The fourth proportional to 2,011.82, 3,017.39 and 550.67 is: 825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.82 : 3,017.39 = 550.67 : x
  2. Step 2: Convert to fraction form
    2,011.82/3,017.39 = 550.67/x
  3. Step 3: Cross multiply
    2,011.82x = 3,017.39 × 550.67
  4. Step 4: Simplify right side
    2,011.82x = 1,661,568.31
  5. Step 5: Solve for x
    x = 1,661,568.31/2,011.82
  6. Step 6: Final answer
    x = 825.91

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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.