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Finding the Fourth Proportional to 2,813.68, 4,220.16 and 1,082.80

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Solution

The fourth proportional to 2,813.68, 4,220.16 and 1,082.80 is: 1,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.68 : 4,220.16 = 1,082.80 : x
  2. Step 2: Convert to fraction form
    2,813.68/4,220.16 = 1,082.80/x
  3. Step 3: Cross multiply
    2,813.68x = 4,220.16 × 1,082.80
  4. Step 4: Simplify right side
    2,813.68x = 4,569,589.25
  5. Step 5: Solve for x
    x = 4,569,589.25/2,813.68
  6. Step 6: Final answer
    x = 1,624.06

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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.