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Finding the Fourth Proportional to 2,366.94, 3,550.41 and 886.49

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Solution

The fourth proportional to 2,366.94, 3,550.41 and 886.49 is: 1,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.94 : 3,550.41 = 886.49 : x
  2. Step 2: Convert to fraction form
    2,366.94/3,550.41 = 886.49/x
  3. Step 3: Cross multiply
    2,366.94x = 3,550.41 × 886.49
  4. Step 4: Simplify right side
    2,366.94x = 3,147,385.21
  5. Step 5: Solve for x
    x = 3,147,385.21/2,366.94
  6. Step 6: Final answer
    x = 1,329.73

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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.