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Finding the Fourth Proportional to 2,069.82, 3,104.55 and 683.12

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Solution

The fourth proportional to 2,069.82, 3,104.55 and 683.12 is: 1,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.82 : 3,104.55 = 683.12 : x
  2. Step 2: Convert to fraction form
    2,069.82/3,104.55 = 683.12/x
  3. Step 3: Cross multiply
    2,069.82x = 3,104.55 × 683.12
  4. Step 4: Simplify right side
    2,069.82x = 2,120,787.96
  5. Step 5: Solve for x
    x = 2,120,787.96/2,069.82
  6. Step 6: Final answer
    x = 1,024.62

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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.