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Finding the Fourth Proportional to 4,019.81, 6,032.20 and 1,940.03

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Solution

The fourth proportional to 4,019.81, 6,032.20 and 1,940.03 is: 2,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.81 : 6,032.20 = 1,940.03 : x
  2. Step 2: Convert to fraction form
    4,019.81/6,032.20 = 1,940.03/x
  3. Step 3: Cross multiply
    4,019.81x = 6,032.20 × 1,940.03
  4. Step 4: Simplify right side
    4,019.81x = 11,702,648.97
  5. Step 5: Solve for x
    x = 11,702,648.97/4,019.81
  6. Step 6: Final answer
    x = 2,911.24

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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.