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Finding the Fourth Proportional to 3,229.77, 4,457.12 and 1,832.25

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Solution

The fourth proportional to 3,229.77, 4,457.12 and 1,832.25 is: 2,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.77 : 4,457.12 = 1,832.25 : x
  2. Step 2: Convert to fraction form
    3,229.77/4,457.12 = 1,832.25/x
  3. Step 3: Cross multiply
    3,229.77x = 4,457.12 × 1,832.25
  4. Step 4: Simplify right side
    3,229.77x = 8,166,548.96
  5. Step 5: Solve for x
    x = 8,166,548.96/3,229.77
  6. Step 6: Final answer
    x = 2,528.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.