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Finding the Fourth Proportional to 2,813.00, 4,219.11 and 733.14

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Solution

The fourth proportional to 2,813.00, 4,219.11 and 733.14 is: 1,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.00 : 4,219.11 = 733.14 : x
  2. Step 2: Convert to fraction form
    2,813.00/4,219.11 = 733.14/x
  3. Step 3: Cross multiply
    2,813.00x = 4,219.11 × 733.14
  4. Step 4: Simplify right side
    2,813.00x = 3,093,198.31
  5. Step 5: Solve for x
    x = 3,093,198.31/2,813.00
  6. Step 6: Final answer
    x = 1,099.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.