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Finding the Fourth Proportional to 2,626.57, 3,624.83 and 1,447.75

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Solution

The fourth proportional to 2,626.57, 3,624.83 and 1,447.75 is: 1,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.57 : 3,624.83 = 1,447.75 : x
  2. Step 2: Convert to fraction form
    2,626.57/3,624.83 = 1,447.75/x
  3. Step 3: Cross multiply
    2,626.57x = 3,624.83 × 1,447.75
  4. Step 4: Simplify right side
    2,626.57x = 5,247,847.63
  5. Step 5: Solve for x
    x = 5,247,847.63/2,626.57
  6. Step 6: Final answer
    x = 1,997.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.