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Finding the Fourth Proportional to 2,167.88, 2,992.91 and 1,662.80

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Solution

The fourth proportional to 2,167.88, 2,992.91 and 1,662.80 is: 2,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.88 : 2,992.91 = 1,662.80 : x
  2. Step 2: Convert to fraction form
    2,167.88/2,992.91 = 1,662.80/x
  3. Step 3: Cross multiply
    2,167.88x = 2,992.91 × 1,662.80
  4. Step 4: Simplify right side
    2,167.88x = 4,976,587.47
  5. Step 5: Solve for x
    x = 4,976,587.47/2,167.88
  6. Step 6: Final answer
    x = 2,295.61

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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.