Home / 2,130.08-3,198.26-1,311.78

Finding the Fourth Proportional to 2,130.08, 3,198.26 and 1,311.78

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Solution

The fourth proportional to 2,130.08, 3,198.26 and 1,311.78 is: 1,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.08 : 3,198.26 = 1,311.78 : x
  2. Step 2: Convert to fraction form
    2,130.08/3,198.26 = 1,311.78/x
  3. Step 3: Cross multiply
    2,130.08x = 3,198.26 × 1,311.78
  4. Step 4: Simplify right side
    2,130.08x = 4,195,413.50
  5. Step 5: Solve for x
    x = 4,195,413.50/2,130.08
  6. Step 6: Final answer
    x = 1,969.60

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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.