Home / 2,134.07-3,202.45-835.50

Finding the Fourth Proportional to 2,134.07, 3,202.45 and 835.50

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Solution

The fourth proportional to 2,134.07, 3,202.45 and 835.50 is: 1,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.07 : 3,202.45 = 835.50 : x
  2. Step 2: Convert to fraction form
    2,134.07/3,202.45 = 835.50/x
  3. Step 3: Cross multiply
    2,134.07x = 3,202.45 × 835.50
  4. Step 4: Simplify right side
    2,134.07x = 2,675,644.89
  5. Step 5: Solve for x
    x = 2,675,644.89/2,134.07
  6. Step 6: Final answer
    x = 1,253.78

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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.