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Finding the Fourth Proportional to 2,062.04, 3,093.84 and 1,832.66

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Solution

The fourth proportional to 2,062.04, 3,093.84 and 1,832.66 is: 2,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.04 : 3,093.84 = 1,832.66 : x
  2. Step 2: Convert to fraction form
    2,062.04/3,093.84 = 1,832.66/x
  3. Step 3: Cross multiply
    2,062.04x = 3,093.84 × 1,832.66
  4. Step 4: Simplify right side
    2,062.04x = 5,669,956.81
  5. Step 5: Solve for x
    x = 5,669,956.81/2,062.04
  6. Step 6: Final answer
    x = 2,749.68

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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.