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Finding the Fourth Proportional to 2,745.90, 3,789.91 and 2,524.50

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Solution

The fourth proportional to 2,745.90, 3,789.91 and 2,524.50 is: 3,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.90 : 3,789.91 = 2,524.50 : x
  2. Step 2: Convert to fraction form
    2,745.90/3,789.91 = 2,524.50/x
  3. Step 3: Cross multiply
    2,745.90x = 3,789.91 × 2,524.50
  4. Step 4: Simplify right side
    2,745.90x = 9,567,608.85
  5. Step 5: Solve for x
    x = 9,567,608.85/2,745.90
  6. Step 6: Final answer
    x = 3,484.33

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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.