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Finding the Fourth Proportional to 3,234.22, 4,463.07 and 1,836.94

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Solution

The fourth proportional to 3,234.22, 4,463.07 and 1,836.94 is: 2,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.22 : 4,463.07 = 1,836.94 : x
  2. Step 2: Convert to fraction form
    3,234.22/4,463.07 = 1,836.94/x
  3. Step 3: Cross multiply
    3,234.22x = 4,463.07 × 1,836.94
  4. Step 4: Simplify right side
    3,234.22x = 8,198,391.81
  5. Step 5: Solve for x
    x = 8,198,391.81/3,234.22
  6. Step 6: Final answer
    x = 2,534.89

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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.