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Finding the Fourth Proportional to 2,171.64, 3,249.37 and 1,294.61

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Solution

The fourth proportional to 2,171.64, 3,249.37 and 1,294.61 is: 1,937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.64 : 3,249.37 = 1,294.61 : x
  2. Step 2: Convert to fraction form
    2,171.64/3,249.37 = 1,294.61/x
  3. Step 3: Cross multiply
    2,171.64x = 3,249.37 × 1,294.61
  4. Step 4: Simplify right side
    2,171.64x = 4,206,666.90
  5. Step 5: Solve for x
    x = 4,206,666.90/2,171.64
  6. Step 6: Final answer
    x = 1,937.09

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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.