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Finding the Fourth Proportional to 2,476.78, 3,413.77 and 1,729.44

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Solution

The fourth proportional to 2,476.78, 3,413.77 and 1,729.44 is: 2,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.78 : 3,413.77 = 1,729.44 : x
  2. Step 2: Convert to fraction form
    2,476.78/3,413.77 = 1,729.44/x
  3. Step 3: Cross multiply
    2,476.78x = 3,413.77 × 1,729.44
  4. Step 4: Simplify right side
    2,476.78x = 5,903,906.13
  5. Step 5: Solve for x
    x = 5,903,906.13/2,476.78
  6. Step 6: Final answer
    x = 2,383.70

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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.