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Finding the Fourth Proportional to 2,992.29, 4,127.37 and 2,321.82

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Solution

The fourth proportional to 2,992.29, 4,127.37 and 2,321.82 is: 3,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.29 : 4,127.37 = 2,321.82 : x
  2. Step 2: Convert to fraction form
    2,992.29/4,127.37 = 2,321.82/x
  3. Step 3: Cross multiply
    2,992.29x = 4,127.37 × 2,321.82
  4. Step 4: Simplify right side
    2,992.29x = 9,583,010.21
  5. Step 5: Solve for x
    x = 9,583,010.21/2,992.29
  6. Step 6: Final answer
    x = 3,202.57

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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.