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Finding the Fourth Proportional to 2,168, 2,991.84 and 1,236.48

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Solution

The fourth proportional to 2,168, 2,991.84 and 1,236.48 is: 1,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168 : 2,991.84 = 1,236.48 : x
  2. Step 2: Convert to fraction form
    2,168/2,991.84 = 1,236.48/x
  3. Step 3: Cross multiply
    2,168x = 2,991.84 × 1,236.48
  4. Step 4: Simplify right side
    2,168x = 3,699,350.32
  5. Step 5: Solve for x
    x = 3,699,350.32/2,168
  6. Step 6: Final answer
    x = 1,706.34

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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.