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Finding the Fourth Proportional to 2,735.23, 3,773.09 and 1,849.50

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Solution

The fourth proportional to 2,735.23, 3,773.09 and 1,849.50 is: 2,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.23 : 3,773.09 = 1,849.50 : x
  2. Step 2: Convert to fraction form
    2,735.23/3,773.09 = 1,849.50/x
  3. Step 3: Cross multiply
    2,735.23x = 3,773.09 × 1,849.50
  4. Step 4: Simplify right side
    2,735.23x = 6,978,309.56
  5. Step 5: Solve for x
    x = 6,978,309.56/2,735.23
  6. Step 6: Final answer
    x = 2,551.27

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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.