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Finding the Fourth Proportional to 1,967.92, 2,713.35 and 1,181.68

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Solution

The fourth proportional to 1,967.92, 2,713.35 and 1,181.68 is: 1,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.92 : 2,713.35 = 1,181.68 : x
  2. Step 2: Convert to fraction form
    1,967.92/2,713.35 = 1,181.68/x
  3. Step 3: Cross multiply
    1,967.92x = 2,713.35 × 1,181.68
  4. Step 4: Simplify right side
    1,967.92x = 3,206,311.43
  5. Step 5: Solve for x
    x = 3,206,311.43/1,967.92
  6. Step 6: Final answer
    x = 1,629.29

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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.