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Finding the Fourth Proportional to 2,189.77, 3,022.01 and 1,350.25

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Solution

The fourth proportional to 2,189.77, 3,022.01 and 1,350.25 is: 1,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.77 : 3,022.01 = 1,350.25 : x
  2. Step 2: Convert to fraction form
    2,189.77/3,022.01 = 1,350.25/x
  3. Step 3: Cross multiply
    2,189.77x = 3,022.01 × 1,350.25
  4. Step 4: Simplify right side
    2,189.77x = 4,080,469.00
  5. Step 5: Solve for x
    x = 4,080,469.00/2,189.77
  6. Step 6: Final answer
    x = 1,863.42

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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.