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Finding the Fourth Proportional to 3,053.56, 4,211.94 and 2,098

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Solution

The fourth proportional to 3,053.56, 4,211.94 and 2,098 is: 2,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.56 : 4,211.94 = 2,098 : x
  2. Step 2: Convert to fraction form
    3,053.56/4,211.94 = 2,098/x
  3. Step 3: Cross multiply
    3,053.56x = 4,211.94 × 2,098
  4. Step 4: Simplify right side
    3,053.56x = 8,836,650.12
  5. Step 5: Solve for x
    x = 8,836,650.12/3,053.56
  6. Step 6: Final answer
    x = 2,893.88

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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.