Home / 2,413.18-3,620.04-769.14

Finding the Fourth Proportional to 2,413.18, 3,620.04 and 769.14

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Solution

The fourth proportional to 2,413.18, 3,620.04 and 769.14 is: 1,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.18 : 3,620.04 = 769.14 : x
  2. Step 2: Convert to fraction form
    2,413.18/3,620.04 = 769.14/x
  3. Step 3: Cross multiply
    2,413.18x = 3,620.04 × 769.14
  4. Step 4: Simplify right side
    2,413.18x = 2,784,317.57
  5. Step 5: Solve for x
    x = 2,784,317.57/2,413.18
  6. Step 6: Final answer
    x = 1,153.80

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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.