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Finding the Fourth Proportional to 4,074.77, 6,111.11 and 1,609.61

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Solution

The fourth proportional to 4,074.77, 6,111.11 and 1,609.61 is: 2,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.77 : 6,111.11 = 1,609.61 : x
  2. Step 2: Convert to fraction form
    4,074.77/6,111.11 = 1,609.61/x
  3. Step 3: Cross multiply
    4,074.77x = 6,111.11 × 1,609.61
  4. Step 4: Simplify right side
    4,074.77x = 9,836,477.24
  5. Step 5: Solve for x
    x = 9,836,477.24/4,074.77
  6. Step 6: Final answer
    x = 2,413.99

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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.