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Finding the Fourth Proportional to 2,586.55, 3,879.81 and 942.42

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Solution

The fourth proportional to 2,586.55, 3,879.81 and 942.42 is: 1,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.55 : 3,879.81 = 942.42 : x
  2. Step 2: Convert to fraction form
    2,586.55/3,879.81 = 942.42/x
  3. Step 3: Cross multiply
    2,586.55x = 3,879.81 × 942.42
  4. Step 4: Simplify right side
    2,586.55x = 3,656,410.54
  5. Step 5: Solve for x
    x = 3,656,410.54/2,586.55
  6. Step 6: Final answer
    x = 1,413.63

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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.