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Finding the Fourth Proportional to 2,135.12, 3,202.41 and 673.88

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Solution

The fourth proportional to 2,135.12, 3,202.41 and 673.88 is: 1,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.12 : 3,202.41 = 673.88 : x
  2. Step 2: Convert to fraction form
    2,135.12/3,202.41 = 673.88/x
  3. Step 3: Cross multiply
    2,135.12x = 3,202.41 × 673.88
  4. Step 4: Simplify right side
    2,135.12x = 2,158,040.05
  5. Step 5: Solve for x
    x = 2,158,040.05/2,135.12
  6. Step 6: Final answer
    x = 1,010.73

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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.