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Finding the Fourth Proportional to 2,167.75, 2,992.31 and 2,004.13

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Solution

The fourth proportional to 2,167.75, 2,992.31 and 2,004.13 is: 2,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.75 : 2,992.31 = 2,004.13 : x
  2. Step 2: Convert to fraction form
    2,167.75/2,992.31 = 2,004.13/x
  3. Step 3: Cross multiply
    2,167.75x = 2,992.31 × 2,004.13
  4. Step 4: Simplify right side
    2,167.75x = 5,996,978.24
  5. Step 5: Solve for x
    x = 5,996,978.24/2,167.75
  6. Step 6: Final answer
    x = 2,766.45

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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.