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Finding the Fourth Proportional to 1,205.91, 1,674.56 and 1,196.19

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Solution

The fourth proportional to 1,205.91, 1,674.56 and 1,196.19 is: 1,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.91 : 1,674.56 = 1,196.19 : x
  2. Step 2: Convert to fraction form
    1,205.91/1,674.56 = 1,196.19/x
  3. Step 3: Cross multiply
    1,205.91x = 1,674.56 × 1,196.19
  4. Step 4: Simplify right side
    1,205.91x = 2,003,094.92
  5. Step 5: Solve for x
    x = 2,003,094.92/1,205.91
  6. Step 6: Final answer
    x = 1,661.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.