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Finding the Fourth Proportional to 1,977.33, 2,728.81 and 1,180.56

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Solution

The fourth proportional to 1,977.33, 2,728.81 and 1,180.56 is: 1,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.33 : 2,728.81 = 1,180.56 : x
  2. Step 2: Convert to fraction form
    1,977.33/2,728.81 = 1,180.56/x
  3. Step 3: Cross multiply
    1,977.33x = 2,728.81 × 1,180.56
  4. Step 4: Simplify right side
    1,977.33x = 3,221,523.93
  5. Step 5: Solve for x
    x = 3,221,523.93/1,977.33
  6. Step 6: Final answer
    x = 1,629.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.