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Finding the Fourth Proportional to 2,749.37, 3,793.92 and 1,630.22

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Solution

The fourth proportional to 2,749.37, 3,793.92 and 1,630.22 is: 2,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.37 : 3,793.92 = 1,630.22 : x
  2. Step 2: Convert to fraction form
    2,749.37/3,793.92 = 1,630.22/x
  3. Step 3: Cross multiply
    2,749.37x = 3,793.92 × 1,630.22
  4. Step 4: Simplify right side
    2,749.37x = 6,184,924.26
  5. Step 5: Solve for x
    x = 6,184,924.26/2,749.37
  6. Step 6: Final answer
    x = 2,249.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.