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Finding the Fourth Proportional to 2,894.28, 3,994.36 and 1,635.57

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Solution

The fourth proportional to 2,894.28, 3,994.36 and 1,635.57 is: 2,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.28 : 3,994.36 = 1,635.57 : x
  2. Step 2: Convert to fraction form
    2,894.28/3,994.36 = 1,635.57/x
  3. Step 3: Cross multiply
    2,894.28x = 3,994.36 × 1,635.57
  4. Step 4: Simplify right side
    2,894.28x = 6,533,027.24
  5. Step 5: Solve for x
    x = 6,533,027.24/2,894.28
  6. Step 6: Final answer
    x = 2,257.22

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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.