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Finding the Fourth Proportional to 2,735.93, 4,103.73 and 1,639.55

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Solution

The fourth proportional to 2,735.93, 4,103.73 and 1,639.55 is: 2,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.93 : 4,103.73 = 1,639.55 : x
  2. Step 2: Convert to fraction form
    2,735.93/4,103.73 = 1,639.55/x
  3. Step 3: Cross multiply
    2,735.93x = 4,103.73 × 1,639.55
  4. Step 4: Simplify right side
    2,735.93x = 6,728,270.52
  5. Step 5: Solve for x
    x = 6,728,270.52/2,735.93
  6. Step 6: Final answer
    x = 2,459.23

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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.