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Finding the Fourth Proportional to 2,205.98, 3,311.13 and 1,052.54

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Solution

The fourth proportional to 2,205.98, 3,311.13 and 1,052.54 is: 1,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.98 : 3,311.13 = 1,052.54 : x
  2. Step 2: Convert to fraction form
    2,205.98/3,311.13 = 1,052.54/x
  3. Step 3: Cross multiply
    2,205.98x = 3,311.13 × 1,052.54
  4. Step 4: Simplify right side
    2,205.98x = 3,485,096.77
  5. Step 5: Solve for x
    x = 3,485,096.77/2,205.98
  6. Step 6: Final answer
    x = 1,579.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.