Home / 2,257.22-3,384.90-796.02

Finding the Fourth Proportional to 2,257.22, 3,384.90 and 796.02

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Solution

The fourth proportional to 2,257.22, 3,384.90 and 796.02 is: 1,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.22 : 3,384.90 = 796.02 : x
  2. Step 2: Convert to fraction form
    2,257.22/3,384.90 = 796.02/x
  3. Step 3: Cross multiply
    2,257.22x = 3,384.90 × 796.02
  4. Step 4: Simplify right side
    2,257.22x = 2,694,448.10
  5. Step 5: Solve for x
    x = 2,694,448.10/2,257.22
  6. Step 6: Final answer
    x = 1,193.70

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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.