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Finding the Fourth Proportional to 2,628.25, 3,626.89 and 1,449.25

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Solution

The fourth proportional to 2,628.25, 3,626.89 and 1,449.25 is: 1,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.25 : 3,626.89 = 1,449.25 : x
  2. Step 2: Convert to fraction form
    2,628.25/3,626.89 = 1,449.25/x
  3. Step 3: Cross multiply
    2,628.25x = 3,626.89 × 1,449.25
  4. Step 4: Simplify right side
    2,628.25x = 5,256,270.33
  5. Step 5: Solve for x
    x = 5,256,270.33/2,628.25
  6. Step 6: Final answer
    x = 1,999.91

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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.