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Finding the Fourth Proportional to 1,450.36, 2,173.38 and 801.28

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Solution

The fourth proportional to 1,450.36, 2,173.38 and 801.28 is: 1,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.36 : 2,173.38 = 801.28 : x
  2. Step 2: Convert to fraction form
    1,450.36/2,173.38 = 801.28/x
  3. Step 3: Cross multiply
    1,450.36x = 2,173.38 × 801.28
  4. Step 4: Simplify right side
    1,450.36x = 1,741,485.93
  5. Step 5: Solve for x
    x = 1,741,485.93/1,450.36
  6. Step 6: Final answer
    x = 1,200.73

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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.