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Finding the Fourth Proportional to 1,205.28, 1,797.57 and 1,180.92

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Solution

The fourth proportional to 1,205.28, 1,797.57 and 1,180.92 is: 1,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.28 : 1,797.57 = 1,180.92 : x
  2. Step 2: Convert to fraction form
    1,205.28/1,797.57 = 1,180.92/x
  3. Step 3: Cross multiply
    1,205.28x = 1,797.57 × 1,180.92
  4. Step 4: Simplify right side
    1,205.28x = 2,122,786.36
  5. Step 5: Solve for x
    x = 2,122,786.36/1,205.28
  6. Step 6: Final answer
    x = 1,761.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.