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Finding the Fourth Proportional to 2,749.34, 3,793.84 and 1,630.09

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Solution

The fourth proportional to 2,749.34, 3,793.84 and 1,630.09 is: 2,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.34 : 3,793.84 = 1,630.09 : x
  2. Step 2: Convert to fraction form
    2,749.34/3,793.84 = 1,630.09/x
  3. Step 3: Cross multiply
    2,749.34x = 3,793.84 × 1,630.09
  4. Step 4: Simplify right side
    2,749.34x = 6,184,273.53
  5. Step 5: Solve for x
    x = 6,184,273.53/2,749.34
  6. Step 6: Final answer
    x = 2,249.37

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1.5x scale

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.