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Finding the Fourth Proportional to 3,072.15, 4,600.02 and 1,836.49

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Solution

The fourth proportional to 3,072.15, 4,600.02 and 1,836.49 is: 2,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.15 : 4,600.02 = 1,836.49 : x
  2. Step 2: Convert to fraction form
    3,072.15/4,600.02 = 1,836.49/x
  3. Step 3: Cross multiply
    3,072.15x = 4,600.02 × 1,836.49
  4. Step 4: Simplify right side
    3,072.15x = 8,447,890.73
  5. Step 5: Solve for x
    x = 8,447,890.73/3,072.15
  6. Step 6: Final answer
    x = 2,749.83

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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.