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Finding the Fourth Proportional to 2,735.36, 3,775.44 and 1,616.48

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Solution

The fourth proportional to 2,735.36, 3,775.44 and 1,616.48 is: 2,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.36 : 3,775.44 = 1,616.48 : x
  2. Step 2: Convert to fraction form
    2,735.36/3,775.44 = 1,616.48/x
  3. Step 3: Cross multiply
    2,735.36x = 3,775.44 × 1,616.48
  4. Step 4: Simplify right side
    2,735.36x = 6,102,923.25
  5. Step 5: Solve for x
    x = 6,102,923.25/2,735.36
  6. Step 6: Final answer
    x = 2,231.12

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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.