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Finding the Fourth Proportional to 2,189.66, 3,022.20 and 1,392.82

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Solution

The fourth proportional to 2,189.66, 3,022.20 and 1,392.82 is: 1,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.66 : 3,022.20 = 1,392.82 : x
  2. Step 2: Convert to fraction form
    2,189.66/3,022.20 = 1,392.82/x
  3. Step 3: Cross multiply
    2,189.66x = 3,022.20 × 1,392.82
  4. Step 4: Simplify right side
    2,189.66x = 4,209,380.60
  5. Step 5: Solve for x
    x = 4,209,380.60/2,189.66
  6. Step 6: Final answer
    x = 1,922.39

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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.