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Finding the Fourth Proportional to 3,146.33, 4,342.27 and 1,819.96

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Solution

The fourth proportional to 3,146.33, 4,342.27 and 1,819.96 is: 2,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.33 : 4,342.27 = 1,819.96 : x
  2. Step 2: Convert to fraction form
    3,146.33/4,342.27 = 1,819.96/x
  3. Step 3: Cross multiply
    3,146.33x = 4,342.27 × 1,819.96
  4. Step 4: Simplify right side
    3,146.33x = 7,902,757.71
  5. Step 5: Solve for x
    x = 7,902,757.71/3,146.33
  6. Step 6: Final answer
    x = 2,511.74

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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.