Home / 2,142.18-3,213.27-1,102.49

Finding the Fourth Proportional to 2,142.18, 3,213.27 and 1,102.49

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Solution

The fourth proportional to 2,142.18, 3,213.27 and 1,102.49 is: 1,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.18 : 3,213.27 = 1,102.49 : x
  2. Step 2: Convert to fraction form
    2,142.18/3,213.27 = 1,102.49/x
  3. Step 3: Cross multiply
    2,142.18x = 3,213.27 × 1,102.49
  4. Step 4: Simplify right side
    2,142.18x = 3,542,581.98
  5. Step 5: Solve for x
    x = 3,542,581.98/2,142.18
  6. Step 6: Final answer
    x = 1,653.73

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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.