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Finding the Fourth Proportional to 2,186.88, 3,286.92 and 1,422.24

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Solution

The fourth proportional to 2,186.88, 3,286.92 and 1,422.24 is: 2,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.88 : 3,286.92 = 1,422.24 : x
  2. Step 2: Convert to fraction form
    2,186.88/3,286.92 = 1,422.24/x
  3. Step 3: Cross multiply
    2,186.88x = 3,286.92 × 1,422.24
  4. Step 4: Simplify right side
    2,186.88x = 4,674,789.10
  5. Step 5: Solve for x
    x = 4,674,789.10/2,186.88
  6. Step 6: Final answer
    x = 2,137.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.