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Finding the Fourth Proportional to 1,960.97, 2,707.31 and 1,742.27

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Solution

The fourth proportional to 1,960.97, 2,707.31 and 1,742.27 is: 2,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.97 : 2,707.31 = 1,742.27 : x
  2. Step 2: Convert to fraction form
    1,960.97/2,707.31 = 1,742.27/x
  3. Step 3: Cross multiply
    1,960.97x = 2,707.31 × 1,742.27
  4. Step 4: Simplify right side
    1,960.97x = 4,716,864.99
  5. Step 5: Solve for x
    x = 4,716,864.99/1,960.97
  6. Step 6: Final answer
    x = 2,405.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.