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Finding the Fourth Proportional to 2,107.96, 3,162.26 and 682.72

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Solution

The fourth proportional to 2,107.96, 3,162.26 and 682.72 is: 1,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.96 : 3,162.26 = 682.72 : x
  2. Step 2: Convert to fraction form
    2,107.96/3,162.26 = 682.72/x
  3. Step 3: Cross multiply
    2,107.96x = 3,162.26 × 682.72
  4. Step 4: Simplify right side
    2,107.96x = 2,158,938.15
  5. Step 5: Solve for x
    x = 2,158,938.15/2,107.96
  6. Step 6: Final answer
    x = 1,024.18

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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.