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Finding the Fourth Proportional to 3,413.94, 5,120.94 and 1,439.90

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Solution

The fourth proportional to 3,413.94, 5,120.94 and 1,439.90 is: 2,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.94 : 5,120.94 = 1,439.90 : x
  2. Step 2: Convert to fraction form
    3,413.94/5,120.94 = 1,439.90/x
  3. Step 3: Cross multiply
    3,413.94x = 5,120.94 × 1,439.90
  4. Step 4: Simplify right side
    3,413.94x = 7,373,640.50
  5. Step 5: Solve for x
    x = 7,373,640.50/3,413.94
  6. Step 6: Final answer
    x = 2,159.86

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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.