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Finding the Fourth Proportional to 3,380.88, 4,665.96 and 1,984.08

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Solution

The fourth proportional to 3,380.88, 4,665.96 and 1,984.08 is: 2,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.88 : 4,665.96 = 1,984.08 : x
  2. Step 2: Convert to fraction form
    3,380.88/4,665.96 = 1,984.08/x
  3. Step 3: Cross multiply
    3,380.88x = 4,665.96 × 1,984.08
  4. Step 4: Simplify right side
    3,380.88x = 9,257,637.92
  5. Step 5: Solve for x
    x = 9,257,637.92/3,380.88
  6. Step 6: Final answer
    x = 2,738.23

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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.