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Finding the Fourth Proportional to 1,832.05, 2,748.03 and 736.48

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Solution

The fourth proportional to 1,832.05, 2,748.03 and 736.48 is: 1,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.05 : 2,748.03 = 736.48 : x
  2. Step 2: Convert to fraction form
    1,832.05/2,748.03 = 736.48/x
  3. Step 3: Cross multiply
    1,832.05x = 2,748.03 × 736.48
  4. Step 4: Simplify right side
    1,832.05x = 2,023,869.13
  5. Step 5: Solve for x
    x = 2,023,869.13/1,832.05
  6. Step 6: Final answer
    x = 1,104.70

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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.