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Finding the Fourth Proportional to 2,813.05, 4,219.20 and 733.21

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Solution

The fourth proportional to 2,813.05, 4,219.20 and 733.21 is: 1,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.05 : 4,219.20 = 733.21 : x
  2. Step 2: Convert to fraction form
    2,813.05/4,219.20 = 733.21/x
  3. Step 3: Cross multiply
    2,813.05x = 4,219.20 × 733.21
  4. Step 4: Simplify right side
    2,813.05x = 3,093,559.63
  5. Step 5: Solve for x
    x = 3,093,559.63/2,813.05
  6. Step 6: Final answer
    x = 1,099.72

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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.