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Finding the Fourth Proportional to 2,231.77, 3,080.21 and 2,133.34

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Solution

The fourth proportional to 2,231.77, 3,080.21 and 2,133.34 is: 2,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.77 : 3,080.21 = 2,133.34 : x
  2. Step 2: Convert to fraction form
    2,231.77/3,080.21 = 2,133.34/x
  3. Step 3: Cross multiply
    2,231.77x = 3,080.21 × 2,133.34
  4. Step 4: Simplify right side
    2,231.77x = 6,571,124.53
  5. Step 5: Solve for x
    x = 6,571,124.53/2,231.77
  6. Step 6: Final answer
    x = 2,944.36

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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.