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Finding the Fourth Proportional to 2,724.37, 4,087.19 and 969.28

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Solution

The fourth proportional to 2,724.37, 4,087.19 and 969.28 is: 1,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.37 : 4,087.19 = 969.28 : x
  2. Step 2: Convert to fraction form
    2,724.37/4,087.19 = 969.28/x
  3. Step 3: Cross multiply
    2,724.37x = 4,087.19 × 969.28
  4. Step 4: Simplify right side
    2,724.37x = 3,961,623.73
  5. Step 5: Solve for x
    x = 3,961,623.73/2,724.37
  6. Step 6: Final answer
    x = 1,454.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.