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Finding the Fourth Proportional to 2,894.00, 3,993.68 and 1,635.11

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Solution

The fourth proportional to 2,894.00, 3,993.68 and 1,635.11 is: 2,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.00 : 3,993.68 = 1,635.11 : x
  2. Step 2: Convert to fraction form
    2,894.00/3,993.68 = 1,635.11/x
  3. Step 3: Cross multiply
    2,894.00x = 3,993.68 × 1,635.11
  4. Step 4: Simplify right side
    2,894.00x = 6,530,105.20
  5. Step 5: Solve for x
    x = 6,530,105.20/2,894.00
  6. Step 6: Final answer
    x = 2,256.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.