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Finding the Fourth Proportional to 3,294.60, 4,942.03 and 1,832.64

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Solution

The fourth proportional to 3,294.60, 4,942.03 and 1,832.64 is: 2,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.60 : 4,942.03 = 1,832.64 : x
  2. Step 2: Convert to fraction form
    3,294.60/4,942.03 = 1,832.64/x
  3. Step 3: Cross multiply
    3,294.60x = 4,942.03 × 1,832.64
  4. Step 4: Simplify right side
    3,294.60x = 9,056,961.86
  5. Step 5: Solve for x
    x = 9,056,961.86/3,294.60
  6. Step 6: Final answer
    x = 2,749.03

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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.