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Finding the Fourth Proportional to 2,627.66, 3,626.04 and 1,448.54

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Solution

The fourth proportional to 2,627.66, 3,626.04 and 1,448.54 is: 1,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.66 : 3,626.04 = 1,448.54 : x
  2. Step 2: Convert to fraction form
    2,627.66/3,626.04 = 1,448.54/x
  3. Step 3: Cross multiply
    2,627.66x = 3,626.04 × 1,448.54
  4. Step 4: Simplify right side
    2,627.66x = 5,252,463.98
  5. Step 5: Solve for x
    x = 5,252,463.98/2,627.66
  6. Step 6: Final answer
    x = 1,998.91

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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.