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Finding the Fourth Proportional to 2,231.94, 3,080.21 and 1,287.90

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Solution

The fourth proportional to 2,231.94, 3,080.21 and 1,287.90 is: 1,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.94 : 3,080.21 = 1,287.90 : x
  2. Step 2: Convert to fraction form
    2,231.94/3,080.21 = 1,287.90/x
  3. Step 3: Cross multiply
    2,231.94x = 3,080.21 × 1,287.90
  4. Step 4: Simplify right side
    2,231.94x = 3,967,003.26
  5. Step 5: Solve for x
    x = 3,967,003.26/2,231.94
  6. Step 6: Final answer
    x = 1,777.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.