Home / 1,420.45-2,131.99-727.61

Finding the Fourth Proportional to 1,420.45, 2,131.99 and 727.61

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Solution

The fourth proportional to 1,420.45, 2,131.99 and 727.61 is: 1,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.45 : 2,131.99 = 727.61 : x
  2. Step 2: Convert to fraction form
    1,420.45/2,131.99 = 727.61/x
  3. Step 3: Cross multiply
    1,420.45x = 2,131.99 × 727.61
  4. Step 4: Simplify right side
    1,420.45x = 1,551,257.24
  5. Step 5: Solve for x
    x = 1,551,257.24/1,420.45
  6. Step 6: Final answer
    x = 1,092.09

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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.