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Finding the Fourth Proportional to 1,761.72, 2,638.68 and 1,205.11

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Solution

The fourth proportional to 1,761.72, 2,638.68 and 1,205.11 is: 1,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.72 : 2,638.68 = 1,205.11 : x
  2. Step 2: Convert to fraction form
    1,761.72/2,638.68 = 1,205.11/x
  3. Step 3: Cross multiply
    1,761.72x = 2,638.68 × 1,205.11
  4. Step 4: Simplify right side
    1,761.72x = 3,179,880.44
  5. Step 5: Solve for x
    x = 3,179,880.44/1,761.72
  6. Step 6: Final answer
    x = 1,804.99

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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.