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Finding the Fourth Proportional to 3,296.45, 4,550.16 and 2,178.38

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Solution

The fourth proportional to 3,296.45, 4,550.16 and 2,178.38 is: 3,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.45 : 4,550.16 = 2,178.38 : x
  2. Step 2: Convert to fraction form
    3,296.45/4,550.16 = 2,178.38/x
  3. Step 3: Cross multiply
    3,296.45x = 4,550.16 × 2,178.38
  4. Step 4: Simplify right side
    3,296.45x = 9,911,977.54
  5. Step 5: Solve for x
    x = 9,911,977.54/3,296.45
  6. Step 6: Final answer
    x = 3,006.86

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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.