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Finding the Fourth Proportional to 2,735.28, 3,774.72 and 1,616.32

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Solution

The fourth proportional to 2,735.28, 3,774.72 and 1,616.32 is: 2,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.28 : 3,774.72 = 1,616.32 : x
  2. Step 2: Convert to fraction form
    2,735.28/3,774.72 = 1,616.32/x
  3. Step 3: Cross multiply
    2,735.28x = 3,774.72 × 1,616.32
  4. Step 4: Simplify right side
    2,735.28x = 6,101,155.43
  5. Step 5: Solve for x
    x = 6,101,155.43/2,735.28
  6. Step 6: Final answer
    x = 2,230.54

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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.