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Finding the Fourth Proportional to 2,189.91, 3,021.12 and 1,392.81

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Solution

The fourth proportional to 2,189.91, 3,021.12 and 1,392.81 is: 1,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.91 : 3,021.12 = 1,392.81 : x
  2. Step 2: Convert to fraction form
    2,189.91/3,021.12 = 1,392.81/x
  3. Step 3: Cross multiply
    2,189.91x = 3,021.12 × 1,392.81
  4. Step 4: Simplify right side
    2,189.91x = 4,207,846.15
  5. Step 5: Solve for x
    x = 4,207,846.15/2,189.91
  6. Step 6: Final answer
    x = 1,921.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.