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Finding the Fourth Proportional to 2,162.88, 3,241.58 and 1,382.58

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Solution

The fourth proportional to 2,162.88, 3,241.58 and 1,382.58 is: 2,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.88 : 3,241.58 = 1,382.58 : x
  2. Step 2: Convert to fraction form
    2,162.88/3,241.58 = 1,382.58/x
  3. Step 3: Cross multiply
    2,162.88x = 3,241.58 × 1,382.58
  4. Step 4: Simplify right side
    2,162.88x = 4,481,736.76
  5. Step 5: Solve for x
    x = 4,481,736.76/2,162.88
  6. Step 6: Final answer
    x = 2,072.12

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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.