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Finding the Fourth Proportional to 2,927.61, 4,040.09 and 1,601.30

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Solution

The fourth proportional to 2,927.61, 4,040.09 and 1,601.30 is: 2,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.61 : 4,040.09 = 1,601.30 : x
  2. Step 2: Convert to fraction form
    2,927.61/4,040.09 = 1,601.30/x
  3. Step 3: Cross multiply
    2,927.61x = 4,040.09 × 1,601.30
  4. Step 4: Simplify right side
    2,927.61x = 6,469,413.22
  5. Step 5: Solve for x
    x = 6,469,413.22/2,927.61
  6. Step 6: Final answer
    x = 2,209.79

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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.