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Finding the Fourth Proportional to 2,629.98, 3,945.15 and 682.20

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Solution

The fourth proportional to 2,629.98, 3,945.15 and 682.20 is: 1,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.98 : 3,945.15 = 682.20 : x
  2. Step 2: Convert to fraction form
    2,629.98/3,945.15 = 682.20/x
  3. Step 3: Cross multiply
    2,629.98x = 3,945.15 × 682.20
  4. Step 4: Simplify right side
    2,629.98x = 2,691,381.33
  5. Step 5: Solve for x
    x = 2,691,381.33/2,629.98
  6. Step 6: Final answer
    x = 1,023.35

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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.