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Finding the Fourth Proportional to 3,220.58, 4,832.49 and 1,274.42

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Solution

The fourth proportional to 3,220.58, 4,832.49 and 1,274.42 is: 1,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.58 : 4,832.49 = 1,274.42 : x
  2. Step 2: Convert to fraction form
    3,220.58/4,832.49 = 1,274.42/x
  3. Step 3: Cross multiply
    3,220.58x = 4,832.49 × 1,274.42
  4. Step 4: Simplify right side
    3,220.58x = 6,158,638.77
  5. Step 5: Solve for x
    x = 6,158,638.77/3,220.58
  6. Step 6: Final answer
    x = 1,912.27

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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.