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Finding the Fourth Proportional to 3,107.81, 4,288.73 and 1,763.42

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Solution

The fourth proportional to 3,107.81, 4,288.73 and 1,763.42 is: 2,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.81 : 4,288.73 = 1,763.42 : x
  2. Step 2: Convert to fraction form
    3,107.81/4,288.73 = 1,763.42/x
  3. Step 3: Cross multiply
    3,107.81x = 4,288.73 × 1,763.42
  4. Step 4: Simplify right side
    3,107.81x = 7,562,802.00
  5. Step 5: Solve for x
    x = 7,562,802.00/3,107.81
  6. Step 6: Final answer
    x = 2,433.48

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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.