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Finding the Fourth Proportional to 2,069.44, 3,107.24 and 2,032.54

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Solution

The fourth proportional to 2,069.44, 3,107.24 and 2,032.54 is: 3,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.44 : 3,107.24 = 2,032.54 : x
  2. Step 2: Convert to fraction form
    2,069.44/3,107.24 = 2,032.54/x
  3. Step 3: Cross multiply
    2,069.44x = 3,107.24 × 2,032.54
  4. Step 4: Simplify right side
    2,069.44x = 6,315,589.59
  5. Step 5: Solve for x
    x = 6,315,589.59/2,069.44
  6. Step 6: Final answer
    x = 3,051.84

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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.