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Finding the Fourth Proportional to 2,894.28, 3,993 and 1,635.06

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Solution

The fourth proportional to 2,894.28, 3,993 and 1,635.06 is: 2,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.28 : 3,993 = 1,635.06 : x
  2. Step 2: Convert to fraction form
    2,894.28/3,993 = 1,635.06/x
  3. Step 3: Cross multiply
    2,894.28x = 3,993 × 1,635.06
  4. Step 4: Simplify right side
    2,894.28x = 6,528,794.58
  5. Step 5: Solve for x
    x = 6,528,794.58/2,894.28
  6. Step 6: Final answer
    x = 2,255.76

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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.