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Finding the Fourth Proportional to 2,413.74, 3,619.84 and 769.90

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Solution

The fourth proportional to 2,413.74, 3,619.84 and 769.90 is: 1,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.74 : 3,619.84 = 769.90 : x
  2. Step 2: Convert to fraction form
    2,413.74/3,619.84 = 769.90/x
  3. Step 3: Cross multiply
    2,413.74x = 3,619.84 × 769.90
  4. Step 4: Simplify right side
    2,413.74x = 2,786,914.82
  5. Step 5: Solve for x
    x = 2,786,914.82/2,413.74
  6. Step 6: Final answer
    x = 1,154.60

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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.