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Finding the Fourth Proportional to 1,832.19, 2,749.20 and 792.03

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Solution

The fourth proportional to 1,832.19, 2,749.20 and 792.03 is: 1,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.19 : 2,749.20 = 792.03 : x
  2. Step 2: Convert to fraction form
    1,832.19/2,749.20 = 792.03/x
  3. Step 3: Cross multiply
    1,832.19x = 2,749.20 × 792.03
  4. Step 4: Simplify right side
    1,832.19x = 2,177,448.88
  5. Step 5: Solve for x
    x = 2,177,448.88/1,832.19
  6. Step 6: Final answer
    x = 1,188.44

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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.