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Finding the Fourth Proportional to 2,638.92, 3,949.78 and 1,945.32

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Solution

The fourth proportional to 2,638.92, 3,949.78 and 1,945.32 is: 2,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.92 : 3,949.78 = 1,945.32 : x
  2. Step 2: Convert to fraction form
    2,638.92/3,949.78 = 1,945.32/x
  3. Step 3: Cross multiply
    2,638.92x = 3,949.78 × 1,945.32
  4. Step 4: Simplify right side
    2,638.92x = 7,683,586.03
  5. Step 5: Solve for x
    x = 7,683,586.03/2,638.92
  6. Step 6: Final answer
    x = 2,911.64

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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.