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Finding the Fourth Proportional to 2,351.81, 3,527.81 and 1,940.18

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Solution

The fourth proportional to 2,351.81, 3,527.81 and 1,940.18 is: 2,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.81 : 3,527.81 = 1,940.18 : x
  2. Step 2: Convert to fraction form
    2,351.81/3,527.81 = 1,940.18/x
  3. Step 3: Cross multiply
    2,351.81x = 3,527.81 × 1,940.18
  4. Step 4: Simplify right side
    2,351.81x = 6,844,559.07
  5. Step 5: Solve for x
    x = 6,844,559.07/2,351.81
  6. Step 6: Final answer
    x = 2,910.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.