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Finding the Fourth Proportional to 3,196.36, 4,413.18 and 2,449

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Solution

The fourth proportional to 3,196.36, 4,413.18 and 2,449 is: 3,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.36 : 4,413.18 = 2,449 : x
  2. Step 2: Convert to fraction form
    3,196.36/4,413.18 = 2,449/x
  3. Step 3: Cross multiply
    3,196.36x = 4,413.18 × 2,449
  4. Step 4: Simplify right side
    3,196.36x = 10,807,877.82
  5. Step 5: Solve for x
    x = 10,807,877.82/3,196.36
  6. Step 6: Final answer
    x = 3,381.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.