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Finding the Fourth Proportional to 2,378.82, 3,282.04 and 1,383.92

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Solution

The fourth proportional to 2,378.82, 3,282.04 and 1,383.92 is: 1,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.82 : 3,282.04 = 1,383.92 : x
  2. Step 2: Convert to fraction form
    2,378.82/3,282.04 = 1,383.92/x
  3. Step 3: Cross multiply
    2,378.82x = 3,282.04 × 1,383.92
  4. Step 4: Simplify right side
    2,378.82x = 4,542,080.80
  5. Step 5: Solve for x
    x = 4,542,080.80/2,378.82
  6. Step 6: Final answer
    x = 1,909.38

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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.