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Finding the Fourth Proportional to 3,261.06, 4,893.21 and 1,413.06

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Solution

The fourth proportional to 3,261.06, 4,893.21 and 1,413.06 is: 2,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.06 : 4,893.21 = 1,413.06 : x
  2. Step 2: Convert to fraction form
    3,261.06/4,893.21 = 1,413.06/x
  3. Step 3: Cross multiply
    3,261.06x = 4,893.21 × 1,413.06
  4. Step 4: Simplify right side
    3,261.06x = 6,914,399.32
  5. Step 5: Solve for x
    x = 6,914,399.32/3,261.06
  6. Step 6: Final answer
    x = 2,120.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.