Home / 2,134.14-3,199.30-835.30

Finding the Fourth Proportional to 2,134.14, 3,199.30 and 835.30

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Solution

The fourth proportional to 2,134.14, 3,199.30 and 835.30 is: 1,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.14 : 3,199.30 = 835.30 : x
  2. Step 2: Convert to fraction form
    2,134.14/3,199.30 = 835.30/x
  3. Step 3: Cross multiply
    2,134.14x = 3,199.30 × 835.30
  4. Step 4: Simplify right side
    2,134.14x = 2,672,375.29
  5. Step 5: Solve for x
    x = 2,672,375.29/2,134.14
  6. Step 6: Final answer
    x = 1,252.20

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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.