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Finding the Fourth Proportional to 2,627.70, 3,626.22 and 1,448.74

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Solution

The fourth proportional to 2,627.70, 3,626.22 and 1,448.74 is: 1,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.70 : 3,626.22 = 1,448.74 : x
  2. Step 2: Convert to fraction form
    2,627.70/3,626.22 = 1,448.74/x
  3. Step 3: Cross multiply
    2,627.70x = 3,626.22 × 1,448.74
  4. Step 4: Simplify right side
    2,627.70x = 5,253,449.96
  5. Step 5: Solve for x
    x = 5,253,449.96/2,627.70
  6. Step 6: Final answer
    x = 1,999.26

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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.