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Finding the Fourth Proportional to 2,366.84, 3,550.28 and 1,067.40

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Solution

The fourth proportional to 2,366.84, 3,550.28 and 1,067.40 is: 1,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.84 : 3,550.28 = 1,067.40 : x
  2. Step 2: Convert to fraction form
    2,366.84/3,550.28 = 1,067.40/x
  3. Step 3: Cross multiply
    2,366.84x = 3,550.28 × 1,067.40
  4. Step 4: Simplify right side
    2,366.84x = 3,789,568.87
  5. Step 5: Solve for x
    x = 3,789,568.87/2,366.84
  6. Step 6: Final answer
    x = 1,601.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.