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Finding the Fourth Proportional to 2,069.78, 3,104.22 and 682.78

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Solution

The fourth proportional to 2,069.78, 3,104.22 and 682.78 is: 1,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.78 : 3,104.22 = 682.78 : x
  2. Step 2: Convert to fraction form
    2,069.78/3,104.22 = 682.78/x
  3. Step 3: Cross multiply
    2,069.78x = 3,104.22 × 682.78
  4. Step 4: Simplify right side
    2,069.78x = 2,119,499.33
  5. Step 5: Solve for x
    x = 2,119,499.33/2,069.78
  6. Step 6: Final answer
    x = 1,024.02

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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.