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Finding the Fourth Proportional to 3,072.31, 4,608.76 and 991.82

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Solution

The fourth proportional to 3,072.31, 4,608.76 and 991.82 is: 1,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.31 : 4,608.76 = 991.82 : x
  2. Step 2: Convert to fraction form
    3,072.31/4,608.76 = 991.82/x
  3. Step 3: Cross multiply
    3,072.31x = 4,608.76 × 991.82
  4. Step 4: Simplify right side
    3,072.31x = 4,571,060.34
  5. Step 5: Solve for x
    x = 4,571,060.34/3,072.31
  6. Step 6: Final answer
    x = 1,487.83

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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.