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Finding the Fourth Proportional to 2,784.44, 4,151.73 and 2,735.24

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Solution

The fourth proportional to 2,784.44, 4,151.73 and 2,735.24 is: 4,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.44 : 4,151.73 = 2,735.24 : x
  2. Step 2: Convert to fraction form
    2,784.44/4,151.73 = 2,735.24/x
  3. Step 3: Cross multiply
    2,784.44x = 4,151.73 × 2,735.24
  4. Step 4: Simplify right side
    2,784.44x = 11,355,977.97
  5. Step 5: Solve for x
    x = 11,355,977.97/2,784.44
  6. Step 6: Final answer
    x = 4,078.37

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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.