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Finding the Fourth Proportional to 1,763.44, 2,415.60 and 1,744

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Solution

The fourth proportional to 1,763.44, 2,415.60 and 1,744 is: 2,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.44 : 2,415.60 = 1,744 : x
  2. Step 2: Convert to fraction form
    1,763.44/2,415.60 = 1,744/x
  3. Step 3: Cross multiply
    1,763.44x = 2,415.60 × 1,744
  4. Step 4: Simplify right side
    1,763.44x = 4,212,806.40
  5. Step 5: Solve for x
    x = 4,212,806.40/1,763.44
  6. Step 6: Final answer
    x = 2,388.97

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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.