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Finding the Fourth Proportional to 2,626.87, 3,625.09 and 1,447.94

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Solution

The fourth proportional to 2,626.87, 3,625.09 and 1,447.94 is: 1,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.87 : 3,625.09 = 1,447.94 : x
  2. Step 2: Convert to fraction form
    2,626.87/3,625.09 = 1,447.94/x
  3. Step 3: Cross multiply
    2,626.87x = 3,625.09 × 1,447.94
  4. Step 4: Simplify right side
    2,626.87x = 5,248,912.81
  5. Step 5: Solve for x
    x = 5,248,912.81/2,626.87
  6. Step 6: Final answer
    x = 1,998.16

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Why These Related Problems?

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