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Finding the Fourth Proportional to 2,050.09, 3,074.37 and 733.49

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Solution

The fourth proportional to 2,050.09, 3,074.37 and 733.49 is: 1,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.09 : 3,074.37 = 733.49 : x
  2. Step 2: Convert to fraction form
    2,050.09/3,074.37 = 733.49/x
  3. Step 3: Cross multiply
    2,050.09x = 3,074.37 × 733.49
  4. Step 4: Simplify right side
    2,050.09x = 2,255,004.28
  5. Step 5: Solve for x
    x = 2,255,004.28/2,050.09
  6. Step 6: Final answer
    x = 1,099.96

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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.