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Finding the Fourth Proportional to 3,074.85, 4,238.05 and 2,064.73

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Solution

The fourth proportional to 3,074.85, 4,238.05 and 2,064.73 is: 2,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.85 : 4,238.05 = 2,064.73 : x
  2. Step 2: Convert to fraction form
    3,074.85/4,238.05 = 2,064.73/x
  3. Step 3: Cross multiply
    3,074.85x = 4,238.05 × 2,064.73
  4. Step 4: Simplify right side
    3,074.85x = 8,750,413.22
  5. Step 5: Solve for x
    x = 8,750,413.22/3,074.85
  6. Step 6: Final answer
    x = 2,845.80

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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.