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Finding the Fourth Proportional to 2,889.87, 3,988.01 and 1,563.60

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Solution

The fourth proportional to 2,889.87, 3,988.01 and 1,563.60 is: 2,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.87 : 3,988.01 = 1,563.60 : x
  2. Step 2: Convert to fraction form
    2,889.87/3,988.01 = 1,563.60/x
  3. Step 3: Cross multiply
    2,889.87x = 3,988.01 × 1,563.60
  4. Step 4: Simplify right side
    2,889.87x = 6,235,652.44
  5. Step 5: Solve for x
    x = 6,235,652.44/2,889.87
  6. Step 6: Final answer
    x = 2,157.76

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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.