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Finding the Fourth Proportional to 2,163.73, 2,985.97 and 1,232.29

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Solution

The fourth proportional to 2,163.73, 2,985.97 and 1,232.29 is: 1,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.73 : 2,985.97 = 1,232.29 : x
  2. Step 2: Convert to fraction form
    2,163.73/2,985.97 = 1,232.29/x
  3. Step 3: Cross multiply
    2,163.73x = 2,985.97 × 1,232.29
  4. Step 4: Simplify right side
    2,163.73x = 3,679,580.97
  5. Step 5: Solve for x
    x = 3,679,580.97/2,163.73
  6. Step 6: Final answer
    x = 1,700.57

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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.