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Finding the Fourth Proportional to 2,144.81, 2,959.84 and 1,213.31

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Solution

The fourth proportional to 2,144.81, 2,959.84 and 1,213.31 is: 1,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.81 : 2,959.84 = 1,213.31 : x
  2. Step 2: Convert to fraction form
    2,144.81/2,959.84 = 1,213.31/x
  3. Step 3: Cross multiply
    2,144.81x = 2,959.84 × 1,213.31
  4. Step 4: Simplify right side
    2,144.81x = 3,591,212.39
  5. Step 5: Solve for x
    x = 3,591,212.39/2,144.81
  6. Step 6: Final answer
    x = 1,674.37

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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.