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Finding the Fourth Proportional to 2,940.14, 4,413.09 and 1,402.22

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Solution

The fourth proportional to 2,940.14, 4,413.09 and 1,402.22 is: 2,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.14 : 4,413.09 = 1,402.22 : x
  2. Step 2: Convert to fraction form
    2,940.14/4,413.09 = 1,402.22/x
  3. Step 3: Cross multiply
    2,940.14x = 4,413.09 × 1,402.22
  4. Step 4: Simplify right side
    2,940.14x = 6,188,123.06
  5. Step 5: Solve for x
    x = 6,188,123.06/2,940.14
  6. Step 6: Final answer
    x = 2,104.70

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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.