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Finding the Fourth Proportional to 3,226.48, 4,832.70 and 1,994.20

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Solution

The fourth proportional to 3,226.48, 4,832.70 and 1,994.20 is: 2,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.48 : 4,832.70 = 1,994.20 : x
  2. Step 2: Convert to fraction form
    3,226.48/4,832.70 = 1,994.20/x
  3. Step 3: Cross multiply
    3,226.48x = 4,832.70 × 1,994.20
  4. Step 4: Simplify right side
    3,226.48x = 9,637,370.34
  5. Step 5: Solve for x
    x = 9,637,370.34/3,226.48
  6. Step 6: Final answer
    x = 2,986.96

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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.