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Finding the Fourth Proportional to 2,745.69, 3,788.80 and 1,626.43

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Solution

The fourth proportional to 2,745.69, 3,788.80 and 1,626.43 is: 2,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.69 : 3,788.80 = 1,626.43 : x
  2. Step 2: Convert to fraction form
    2,745.69/3,788.80 = 1,626.43/x
  3. Step 3: Cross multiply
    2,745.69x = 3,788.80 × 1,626.43
  4. Step 4: Simplify right side
    2,745.69x = 6,162,217.98
  5. Step 5: Solve for x
    x = 6,162,217.98/2,745.69
  6. Step 6: Final answer
    x = 2,244.32

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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.