Home / 2,142.24-3,213.81-755.61

Finding the Fourth Proportional to 2,142.24, 3,213.81 and 755.61

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Solution

The fourth proportional to 2,142.24, 3,213.81 and 755.61 is: 1,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.24 : 3,213.81 = 755.61 : x
  2. Step 2: Convert to fraction form
    2,142.24/3,213.81 = 755.61/x
  3. Step 3: Cross multiply
    2,142.24x = 3,213.81 × 755.61
  4. Step 4: Simplify right side
    2,142.24x = 2,428,386.97
  5. Step 5: Solve for x
    x = 2,428,386.97/2,142.24
  6. Step 6: Final answer
    x = 1,133.57

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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.