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Finding the Fourth Proportional to 2,996.70, 4,134.15 and 2,063.58

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Solution

The fourth proportional to 2,996.70, 4,134.15 and 2,063.58 is: 2,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.70 : 4,134.15 = 2,063.58 : x
  2. Step 2: Convert to fraction form
    2,996.70/4,134.15 = 2,063.58/x
  3. Step 3: Cross multiply
    2,996.70x = 4,134.15 × 2,063.58
  4. Step 4: Simplify right side
    2,996.70x = 8,531,149.26
  5. Step 5: Solve for x
    x = 8,531,149.26/2,996.70
  6. Step 6: Final answer
    x = 2,846.85

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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.