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Finding the Fourth Proportional to 2,012.05, 3,017.72 and 550.85

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Solution

The fourth proportional to 2,012.05, 3,017.72 and 550.85 is: 826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.05 : 3,017.72 = 550.85 : x
  2. Step 2: Convert to fraction form
    2,012.05/3,017.72 = 550.85/x
  3. Step 3: Cross multiply
    2,012.05x = 3,017.72 × 550.85
  4. Step 4: Simplify right side
    2,012.05x = 1,662,311.06
  5. Step 5: Solve for x
    x = 1,662,311.06/2,012.05
  6. Step 6: Final answer
    x = 826.18

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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.