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Finding the Fourth Proportional to 3,832.84, 5,749.67 and 1,640.98

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Solution

The fourth proportional to 3,832.84, 5,749.67 and 1,640.98 is: 2,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.84 : 5,749.67 = 1,640.98 : x
  2. Step 2: Convert to fraction form
    3,832.84/5,749.67 = 1,640.98/x
  3. Step 3: Cross multiply
    3,832.84x = 5,749.67 × 1,640.98
  4. Step 4: Simplify right side
    3,832.84x = 9,435,093.48
  5. Step 5: Solve for x
    x = 9,435,093.48/3,832.84
  6. Step 6: Final answer
    x = 2,461.65

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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.