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Finding the Fourth Proportional to 2,632.72, 3,949.24 and 684.96

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Solution

The fourth proportional to 2,632.72, 3,949.24 and 684.96 is: 1,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.72 : 3,949.24 = 684.96 : x
  2. Step 2: Convert to fraction form
    2,632.72/3,949.24 = 684.96/x
  3. Step 3: Cross multiply
    2,632.72x = 3,949.24 × 684.96
  4. Step 4: Simplify right side
    2,632.72x = 2,705,071.43
  5. Step 5: Solve for x
    x = 2,705,071.43/2,632.72
  6. Step 6: Final answer
    x = 1,027.48

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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.