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Finding the Fourth Proportional to 2,300.16, 3,450.24 and 1,067.20

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Solution

The fourth proportional to 2,300.16, 3,450.24 and 1,067.20 is: 1,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.16 : 3,450.24 = 1,067.20 : x
  2. Step 2: Convert to fraction form
    2,300.16/3,450.24 = 1,067.20/x
  3. Step 3: Cross multiply
    2,300.16x = 3,450.24 × 1,067.20
  4. Step 4: Simplify right side
    2,300.16x = 3,682,096.13
  5. Step 5: Solve for x
    x = 3,682,096.13/2,300.16
  6. Step 6: Final answer
    x = 1,600.80

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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.