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Finding the Fourth Proportional to 2,976.54, 4,454.24 and 2,194.68

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Solution

The fourth proportional to 2,976.54, 4,454.24 and 2,194.68 is: 3,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.54 : 4,454.24 = 2,194.68 : x
  2. Step 2: Convert to fraction form
    2,976.54/4,454.24 = 2,194.68/x
  3. Step 3: Cross multiply
    2,976.54x = 4,454.24 × 2,194.68
  4. Step 4: Simplify right side
    2,976.54x = 9,775,631.44
  5. Step 5: Solve for x
    x = 9,775,631.44/2,976.54
  6. Step 6: Final answer
    x = 3,284.23

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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.