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Finding the Fourth Proportional to 3,205.96, 4,808.94 and 1,837

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Solution

The fourth proportional to 3,205.96, 4,808.94 and 1,837 is: 2,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.96 : 4,808.94 = 1,837 : x
  2. Step 2: Convert to fraction form
    3,205.96/4,808.94 = 1,837/x
  3. Step 3: Cross multiply
    3,205.96x = 4,808.94 × 1,837
  4. Step 4: Simplify right side
    3,205.96x = 8,834,022.78
  5. Step 5: Solve for x
    x = 8,834,022.78/3,205.96
  6. Step 6: Final answer
    x = 2,755.50

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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.