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Finding the Fourth Proportional to 2,998.34, 4,137.96 and 1,820.06

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Solution

The fourth proportional to 2,998.34, 4,137.96 and 1,820.06 is: 2,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.34 : 4,137.96 = 1,820.06 : x
  2. Step 2: Convert to fraction form
    2,998.34/4,137.96 = 1,820.06/x
  3. Step 3: Cross multiply
    2,998.34x = 4,137.96 × 1,820.06
  4. Step 4: Simplify right side
    2,998.34x = 7,531,335.48
  5. Step 5: Solve for x
    x = 7,531,335.48/2,998.34
  6. Step 6: Final answer
    x = 2,511.84

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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.