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Finding the Fourth Proportional to 1,761.12, 2,639.18 and 1,205.33

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Solution

The fourth proportional to 1,761.12, 2,639.18 and 1,205.33 is: 1,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.12 : 2,639.18 = 1,205.33 : x
  2. Step 2: Convert to fraction form
    1,761.12/2,639.18 = 1,205.33/x
  3. Step 3: Cross multiply
    1,761.12x = 2,639.18 × 1,205.33
  4. Step 4: Simplify right side
    1,761.12x = 3,181,072.65
  5. Step 5: Solve for x
    x = 3,181,072.65/1,761.12
  6. Step 6: Final answer
    x = 1,806.28

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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.