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Finding the Fourth Proportional to 3,221.94, 4,832.34 and 1,466.53

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Solution

The fourth proportional to 3,221.94, 4,832.34 and 1,466.53 is: 2,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.94 : 4,832.34 = 1,466.53 : x
  2. Step 2: Convert to fraction form
    3,221.94/4,832.34 = 1,466.53/x
  3. Step 3: Cross multiply
    3,221.94x = 4,832.34 × 1,466.53
  4. Step 4: Simplify right side
    3,221.94x = 7,086,754.00
  5. Step 5: Solve for x
    x = 7,086,754.00/3,221.94
  6. Step 6: Final answer
    x = 2,199.53

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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.