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Finding the Fourth Proportional to 1,763.67, 2,419.23 and 1,727.22

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Solution

The fourth proportional to 1,763.67, 2,419.23 and 1,727.22 is: 2,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.67 : 2,419.23 = 1,727.22 : x
  2. Step 2: Convert to fraction form
    1,763.67/2,419.23 = 1,727.22/x
  3. Step 3: Cross multiply
    1,763.67x = 2,419.23 × 1,727.22
  4. Step 4: Simplify right side
    1,763.67x = 4,178,542.44
  5. Step 5: Solve for x
    x = 4,178,542.44/1,763.67
  6. Step 6: Final answer
    x = 2,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.