Home / 2,199.26-3,299.20-738.06

Finding the Fourth Proportional to 2,199.26, 3,299.20 and 738.06

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Solution

The fourth proportional to 2,199.26, 3,299.20 and 738.06 is: 1,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.26 : 3,299.20 = 738.06 : x
  2. Step 2: Convert to fraction form
    2,199.26/3,299.20 = 738.06/x
  3. Step 3: Cross multiply
    2,199.26x = 3,299.20 × 738.06
  4. Step 4: Simplify right side
    2,199.26x = 2,435,007.55
  5. Step 5: Solve for x
    x = 2,435,007.55/2,199.26
  6. Step 6: Final answer
    x = 1,107.19

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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.