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Finding the Fourth Proportional to 2,128.68, 3,194.82 and 1,205.28

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Solution

The fourth proportional to 2,128.68, 3,194.82 and 1,205.28 is: 1,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.68 : 3,194.82 = 1,205.28 : x
  2. Step 2: Convert to fraction form
    2,128.68/3,194.82 = 1,205.28/x
  3. Step 3: Cross multiply
    2,128.68x = 3,194.82 × 1,205.28
  4. Step 4: Simplify right side
    2,128.68x = 3,850,652.65
  5. Step 5: Solve for x
    x = 3,850,652.65/2,128.68
  6. Step 6: Final answer
    x = 1,808.94

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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.