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Finding the Fourth Proportional to 2,163.98, 2,986.31 and 1,232.54

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Solution

The fourth proportional to 2,163.98, 2,986.31 and 1,232.54 is: 1,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.98 : 2,986.31 = 1,232.54 : x
  2. Step 2: Convert to fraction form
    2,163.98/2,986.31 = 1,232.54/x
  3. Step 3: Cross multiply
    2,163.98x = 2,986.31 × 1,232.54
  4. Step 4: Simplify right side
    2,163.98x = 3,680,746.53
  5. Step 5: Solve for x
    x = 3,680,746.53/2,163.98
  6. Step 6: Final answer
    x = 1,700.92

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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.