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Finding the Fourth Proportional to 3,057.96, 4,585.26 and 1,413.60

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Solution

The fourth proportional to 3,057.96, 4,585.26 and 1,413.60 is: 2,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.96 : 4,585.26 = 1,413.60 : x
  2. Step 2: Convert to fraction form
    3,057.96/4,585.26 = 1,413.60/x
  3. Step 3: Cross multiply
    3,057.96x = 4,585.26 × 1,413.60
  4. Step 4: Simplify right side
    3,057.96x = 6,481,723.54
  5. Step 5: Solve for x
    x = 6,481,723.54/3,057.96
  6. Step 6: Final answer
    x = 2,119.62

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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.