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Finding the Fourth Proportional to 2,998.33, 4,137.96 and 1,820.05

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Solution

The fourth proportional to 2,998.33, 4,137.96 and 1,820.05 is: 2,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.33 : 4,137.96 = 1,820.05 : x
  2. Step 2: Convert to fraction form
    2,998.33/4,137.96 = 1,820.05/x
  3. Step 3: Cross multiply
    2,998.33x = 4,137.96 × 1,820.05
  4. Step 4: Simplify right side
    2,998.33x = 7,531,294.10
  5. Step 5: Solve for x
    x = 7,531,294.10/2,998.33
  6. Step 6: Final answer
    x = 2,511.83

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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.