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Finding the Fourth Proportional to 2,894.27, 3,994.09 and 1,635.33

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Solution

The fourth proportional to 2,894.27, 3,994.09 and 1,635.33 is: 2,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.27 : 3,994.09 = 1,635.33 : x
  2. Step 2: Convert to fraction form
    2,894.27/3,994.09 = 1,635.33/x
  3. Step 3: Cross multiply
    2,894.27x = 3,994.09 × 1,635.33
  4. Step 4: Simplify right side
    2,894.27x = 6,531,649.30
  5. Step 5: Solve for x
    x = 6,531,649.30/2,894.27
  6. Step 6: Final answer
    x = 2,256.75

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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.