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Finding the Fourth Proportional to 2,632.70, 3,949.29 and 684.92

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Solution

The fourth proportional to 2,632.70, 3,949.29 and 684.92 is: 1,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.70 : 3,949.29 = 684.92 : x
  2. Step 2: Convert to fraction form
    2,632.70/3,949.29 = 684.92/x
  3. Step 3: Cross multiply
    2,632.70x = 3,949.29 × 684.92
  4. Step 4: Simplify right side
    2,632.70x = 2,704,957.58
  5. Step 5: Solve for x
    x = 2,704,957.58/2,632.70
  6. Step 6: Final answer
    x = 1,027.45

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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.