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Finding the Fourth Proportional to 3,231.83, 4,848.20 and 1,151.22

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Solution

The fourth proportional to 3,231.83, 4,848.20 and 1,151.22 is: 1,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.83 : 4,848.20 = 1,151.22 : x
  2. Step 2: Convert to fraction form
    3,231.83/4,848.20 = 1,151.22/x
  3. Step 3: Cross multiply
    3,231.83x = 4,848.20 × 1,151.22
  4. Step 4: Simplify right side
    3,231.83x = 5,581,361.55
  5. Step 5: Solve for x
    x = 5,581,361.55/3,231.83
  6. Step 6: Final answer
    x = 1,727.00

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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.