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Finding the Fourth Proportional to 1,396.41, 2,097.86 and 1,208.49

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Solution

The fourth proportional to 1,396.41, 2,097.86 and 1,208.49 is: 1,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.41 : 2,097.86 = 1,208.49 : x
  2. Step 2: Convert to fraction form
    1,396.41/2,097.86 = 1,208.49/x
  3. Step 3: Cross multiply
    1,396.41x = 2,097.86 × 1,208.49
  4. Step 4: Simplify right side
    1,396.41x = 2,535,236.79
  5. Step 5: Solve for x
    x = 2,535,236.79/1,396.41
  6. Step 6: Final answer
    x = 1,815.54

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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.