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Finding the Fourth Proportional to 2,171.66, 3,262.83 and 1,392

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Solution

The fourth proportional to 2,171.66, 3,262.83 and 1,392 is: 2,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.66 : 3,262.83 = 1,392 : x
  2. Step 2: Convert to fraction form
    2,171.66/3,262.83 = 1,392/x
  3. Step 3: Cross multiply
    2,171.66x = 3,262.83 × 1,392
  4. Step 4: Simplify right side
    2,171.66x = 4,541,859.36
  5. Step 5: Solve for x
    x = 4,541,859.36/2,171.66
  6. Step 6: Final answer
    x = 2,091.42

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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.