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Finding the Fourth Proportional to 2,822.44, 3,894.96 and 1,563.49

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Solution

The fourth proportional to 2,822.44, 3,894.96 and 1,563.49 is: 2,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.44 : 3,894.96 = 1,563.49 : x
  2. Step 2: Convert to fraction form
    2,822.44/3,894.96 = 1,563.49/x
  3. Step 3: Cross multiply
    2,822.44x = 3,894.96 × 1,563.49
  4. Step 4: Simplify right side
    2,822.44x = 6,089,740.25
  5. Step 5: Solve for x
    x = 6,089,740.25/2,822.44
  6. Step 6: Final answer
    x = 2,157.62

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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.