Home / 3,198.38-4,413.63-1,782.02

Finding the Fourth Proportional to 3,198.38, 4,413.63 and 1,782.02

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Solution

The fourth proportional to 3,198.38, 4,413.63 and 1,782.02 is: 2,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.38 : 4,413.63 = 1,782.02 : x
  2. Step 2: Convert to fraction form
    3,198.38/4,413.63 = 1,782.02/x
  3. Step 3: Cross multiply
    3,198.38x = 4,413.63 × 1,782.02
  4. Step 4: Simplify right side
    3,198.38x = 7,865,154.86
  5. Step 5: Solve for x
    x = 7,865,154.86/3,198.38
  6. Step 6: Final answer
    x = 2,459.11

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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.