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Finding the Fourth Proportional to 3,230.46, 4,458.06 and 1,833.22

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Solution

The fourth proportional to 3,230.46, 4,458.06 and 1,833.22 is: 2,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.46 : 4,458.06 = 1,833.22 : x
  2. Step 2: Convert to fraction form
    3,230.46/4,458.06 = 1,833.22/x
  3. Step 3: Cross multiply
    3,230.46x = 4,458.06 × 1,833.22
  4. Step 4: Simplify right side
    3,230.46x = 8,172,604.75
  5. Step 5: Solve for x
    x = 8,172,604.75/3,230.46
  6. Step 6: Final answer
    x = 2,529.86

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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.