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Finding the Fourth Proportional to 2,366.77, 3,550.16 and 2,022.43

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Solution

The fourth proportional to 2,366.77, 3,550.16 and 2,022.43 is: 3,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.77 : 3,550.16 = 2,022.43 : x
  2. Step 2: Convert to fraction form
    2,366.77/3,550.16 = 2,022.43/x
  3. Step 3: Cross multiply
    2,366.77x = 3,550.16 × 2,022.43
  4. Step 4: Simplify right side
    2,366.77x = 7,179,950.09
  5. Step 5: Solve for x
    x = 7,179,950.09/2,366.77
  6. Step 6: Final answer
    x = 3,033.65

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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.