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Finding the Fourth Proportional to 1,832.85, 2,749.74 and 737.94

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Solution

The fourth proportional to 1,832.85, 2,749.74 and 737.94 is: 1,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.85 : 2,749.74 = 737.94 : x
  2. Step 2: Convert to fraction form
    1,832.85/2,749.74 = 737.94/x
  3. Step 3: Cross multiply
    1,832.85x = 2,749.74 × 737.94
  4. Step 4: Simplify right side
    1,832.85x = 2,029,143.14
  5. Step 5: Solve for x
    x = 2,029,143.14/1,832.85
  6. Step 6: Final answer
    x = 1,107.10

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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.