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Finding the Fourth Proportional to 3,323.25, 4,978.26 and 1,674.63

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Solution

The fourth proportional to 3,323.25, 4,978.26 and 1,674.63 is: 2,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.25 : 4,978.26 = 1,674.63 : x
  2. Step 2: Convert to fraction form
    3,323.25/4,978.26 = 1,674.63/x
  3. Step 3: Cross multiply
    3,323.25x = 4,978.26 × 1,674.63
  4. Step 4: Simplify right side
    3,323.25x = 8,336,743.54
  5. Step 5: Solve for x
    x = 8,336,743.54/3,323.25
  6. Step 6: Final answer
    x = 2,508.61

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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.