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Finding the Fourth Proportional to 1,950.05, 2,922.44 and 1,825.49

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Solution

The fourth proportional to 1,950.05, 2,922.44 and 1,825.49 is: 2,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.05 : 2,922.44 = 1,825.49 : x
  2. Step 2: Convert to fraction form
    1,950.05/2,922.44 = 1,825.49/x
  3. Step 3: Cross multiply
    1,950.05x = 2,922.44 × 1,825.49
  4. Step 4: Simplify right side
    1,950.05x = 5,334,861.26
  5. Step 5: Solve for x
    x = 5,334,861.26/1,950.05
  6. Step 6: Final answer
    x = 2,735.76

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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.