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Finding the Fourth Proportional to 2,611.56, 3,604.26 and 1,563.63

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Solution

The fourth proportional to 2,611.56, 3,604.26 and 1,563.63 is: 2,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.56 : 3,604.26 = 1,563.63 : x
  2. Step 2: Convert to fraction form
    2,611.56/3,604.26 = 1,563.63/x
  3. Step 3: Cross multiply
    2,611.56x = 3,604.26 × 1,563.63
  4. Step 4: Simplify right side
    2,611.56x = 5,635,729.06
  5. Step 5: Solve for x
    x = 5,635,729.06/2,611.56
  6. Step 6: Final answer
    x = 2,157.99

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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.