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Finding the Fourth Proportional to 2,813.18, 4,219.81 and 733.05

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Solution

The fourth proportional to 2,813.18, 4,219.81 and 733.05 is: 1,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.18 : 4,219.81 = 733.05 : x
  2. Step 2: Convert to fraction form
    2,813.18/4,219.81 = 733.05/x
  3. Step 3: Cross multiply
    2,813.18x = 4,219.81 × 733.05
  4. Step 4: Simplify right side
    2,813.18x = 3,093,329.89
  5. Step 5: Solve for x
    x = 3,093,329.89/2,813.18
  6. Step 6: Final answer
    x = 1,099.59

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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.