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Finding the Fourth Proportional to 2,069.38, 3,103.30 and 682.31

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Solution

The fourth proportional to 2,069.38, 3,103.30 and 682.31 is: 1,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.38 : 3,103.30 = 682.31 : x
  2. Step 2: Convert to fraction form
    2,069.38/3,103.30 = 682.31/x
  3. Step 3: Cross multiply
    2,069.38x = 3,103.30 × 682.31
  4. Step 4: Simplify right side
    2,069.38x = 2,117,409.21
  5. Step 5: Solve for x
    x = 2,117,409.21/2,069.38
  6. Step 6: Final answer
    x = 1,023.21

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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.