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Finding the Fourth Proportional to 2,167.94, 2,992.85 and 1,694.66

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Solution

The fourth proportional to 2,167.94, 2,992.85 and 1,694.66 is: 2,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.94 : 2,992.85 = 1,694.66 : x
  2. Step 2: Convert to fraction form
    2,167.94/2,992.85 = 1,694.66/x
  3. Step 3: Cross multiply
    2,167.94x = 2,992.85 × 1,694.66
  4. Step 4: Simplify right side
    2,167.94x = 5,071,858.72
  5. Step 5: Solve for x
    x = 5,071,858.72/2,167.94
  6. Step 6: Final answer
    x = 2,339.48

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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.