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Finding the Fourth Proportional to 2,822.45, 3,894.93 and 1,563.47

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Solution

The fourth proportional to 2,822.45, 3,894.93 and 1,563.47 is: 2,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.45 : 3,894.93 = 1,563.47 : x
  2. Step 2: Convert to fraction form
    2,822.45/3,894.93 = 1,563.47/x
  3. Step 3: Cross multiply
    2,822.45x = 3,894.93 × 1,563.47
  4. Step 4: Simplify right side
    2,822.45x = 6,089,606.21
  5. Step 5: Solve for x
    x = 6,089,606.21/2,822.45
  6. Step 6: Final answer
    x = 2,157.56

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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.