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Finding the Fourth Proportional to 2,643.39, 3,644.42 and 2,274.34

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Solution

The fourth proportional to 2,643.39, 3,644.42 and 2,274.34 is: 3,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.39 : 3,644.42 = 2,274.34 : x
  2. Step 2: Convert to fraction form
    2,643.39/3,644.42 = 2,274.34/x
  3. Step 3: Cross multiply
    2,643.39x = 3,644.42 × 2,274.34
  4. Step 4: Simplify right side
    2,643.39x = 8,288,637.65
  5. Step 5: Solve for x
    x = 8,288,637.65/2,643.39
  6. Step 6: Final answer
    x = 3,135.61

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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.