Home / 2,134.07-3,200.49-835.23

Finding the Fourth Proportional to 2,134.07, 3,200.49 and 835.23

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Solution

The fourth proportional to 2,134.07, 3,200.49 and 835.23 is: 1,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.07 : 3,200.49 = 835.23 : x
  2. Step 2: Convert to fraction form
    2,134.07/3,200.49 = 835.23/x
  3. Step 3: Cross multiply
    2,134.07x = 3,200.49 × 835.23
  4. Step 4: Simplify right side
    2,134.07x = 2,673,145.26
  5. Step 5: Solve for x
    x = 2,673,145.26/2,134.07
  6. Step 6: Final answer
    x = 1,252.60

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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.