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Finding the Fourth Proportional to 1,832.92, 2,749.39 and 446.26

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Solution

The fourth proportional to 1,832.92, 2,749.39 and 446.26 is: 669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.92 : 2,749.39 = 446.26 : x
  2. Step 2: Convert to fraction form
    1,832.92/2,749.39 = 446.26/x
  3. Step 3: Cross multiply
    1,832.92x = 2,749.39 × 446.26
  4. Step 4: Simplify right side
    1,832.92x = 1,226,926.80
  5. Step 5: Solve for x
    x = 1,226,926.80/1,832.92
  6. Step 6: Final answer
    x = 669.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.