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Finding the Fourth Proportional to 2,673.18, 4,013.82 and 2,181.78

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Solution

The fourth proportional to 2,673.18, 4,013.82 and 2,181.78 is: 3,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.18 : 4,013.82 = 2,181.78 : x
  2. Step 2: Convert to fraction form
    2,673.18/4,013.82 = 2,181.78/x
  3. Step 3: Cross multiply
    2,673.18x = 4,013.82 × 2,181.78
  4. Step 4: Simplify right side
    2,673.18x = 8,757,272.20
  5. Step 5: Solve for x
    x = 8,757,272.20/2,673.18
  6. Step 6: Final answer
    x = 3,275.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.