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Finding the Fourth Proportional to 1,967.46, 2,935.97 and 1,749.30

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Solution

The fourth proportional to 1,967.46, 2,935.97 and 1,749.30 is: 2,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.46 : 2,935.97 = 1,749.30 : x
  2. Step 2: Convert to fraction form
    1,967.46/2,935.97 = 1,749.30/x
  3. Step 3: Cross multiply
    1,967.46x = 2,935.97 × 1,749.30
  4. Step 4: Simplify right side
    1,967.46x = 5,135,883.57
  5. Step 5: Solve for x
    x = 5,135,883.57/1,967.46
  6. Step 6: Final answer
    x = 2,610.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.