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Finding the Fourth Proportional to 2,889.76, 3,987.85 and 1,563.44

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Solution

The fourth proportional to 2,889.76, 3,987.85 and 1,563.44 is: 2,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.76 : 3,987.85 = 1,563.44 : x
  2. Step 2: Convert to fraction form
    2,889.76/3,987.85 = 1,563.44/x
  3. Step 3: Cross multiply
    2,889.76x = 3,987.85 × 1,563.44
  4. Step 4: Simplify right side
    2,889.76x = 6,234,764.20
  5. Step 5: Solve for x
    x = 6,234,764.20/2,889.76
  6. Step 6: Final answer
    x = 2,157.54

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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.