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Finding the Fourth Proportional to 3,229.86, 4,457.07 and 1,813.58

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Solution

The fourth proportional to 3,229.86, 4,457.07 and 1,813.58 is: 2,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.86 : 4,457.07 = 1,813.58 : x
  2. Step 2: Convert to fraction form
    3,229.86/4,457.07 = 1,813.58/x
  3. Step 3: Cross multiply
    3,229.86x = 4,457.07 × 1,813.58
  4. Step 4: Simplify right side
    3,229.86x = 8,083,230.73
  5. Step 5: Solve for x
    x = 8,083,230.73/3,229.86
  6. Step 6: Final answer
    x = 2,502.66

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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.