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Finding the Fourth Proportional to 2,520.39, 3,782.52 and 1,745.81

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Solution

The fourth proportional to 2,520.39, 3,782.52 and 1,745.81 is: 2,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.39 : 3,782.52 = 1,745.81 : x
  2. Step 2: Convert to fraction form
    2,520.39/3,782.52 = 1,745.81/x
  3. Step 3: Cross multiply
    2,520.39x = 3,782.52 × 1,745.81
  4. Step 4: Simplify right side
    2,520.39x = 6,603,542.33
  5. Step 5: Solve for x
    x = 6,603,542.33/2,520.39
  6. Step 6: Final answer
    x = 2,620.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.