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Finding the Fourth Proportional to 2,671.80, 3,996.90 and 2,310.60

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Solution

The fourth proportional to 2,671.80, 3,996.90 and 2,310.60 is: 3,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.80 : 3,996.90 = 2,310.60 : x
  2. Step 2: Convert to fraction form
    2,671.80/3,996.90 = 2,310.60/x
  3. Step 3: Cross multiply
    2,671.80x = 3,996.90 × 2,310.60
  4. Step 4: Simplify right side
    2,671.80x = 9,235,237.14
  5. Step 5: Solve for x
    x = 9,235,237.14/2,671.80
  6. Step 6: Final answer
    x = 3,456.56

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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.