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Finding the Fourth Proportional to 3,413.60, 5,119.76 and 2,044

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Solution

The fourth proportional to 3,413.60, 5,119.76 and 2,044 is: 3,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.60 : 5,119.76 = 2,044 : x
  2. Step 2: Convert to fraction form
    3,413.60/5,119.76 = 2,044/x
  3. Step 3: Cross multiply
    3,413.60x = 5,119.76 × 2,044
  4. Step 4: Simplify right side
    3,413.60x = 10,464,789.44
  5. Step 5: Solve for x
    x = 10,464,789.44/3,413.60
  6. Step 6: Final answer
    x = 3,065.62

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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.