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Finding the Fourth Proportional to 2,630.35, 3,945.39 and 682.57

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Solution

The fourth proportional to 2,630.35, 3,945.39 and 682.57 is: 1,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.35 : 3,945.39 = 682.57 : x
  2. Step 2: Convert to fraction form
    2,630.35/3,945.39 = 682.57/x
  3. Step 3: Cross multiply
    2,630.35x = 3,945.39 × 682.57
  4. Step 4: Simplify right side
    2,630.35x = 2,693,004.85
  5. Step 5: Solve for x
    x = 2,693,004.85/2,630.35
  6. Step 6: Final answer
    x = 1,023.82

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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.