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Finding the Fourth Proportional to 1,724.73, 2,380.92 and 1,158.54

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Solution

The fourth proportional to 1,724.73, 2,380.92 and 1,158.54 is: 1,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.73 : 2,380.92 = 1,158.54 : x
  2. Step 2: Convert to fraction form
    1,724.73/2,380.92 = 1,158.54/x
  3. Step 3: Cross multiply
    1,724.73x = 2,380.92 × 1,158.54
  4. Step 4: Simplify right side
    1,724.73x = 2,758,391.06
  5. Step 5: Solve for x
    x = 2,758,391.06/1,724.73
  6. Step 6: Final answer
    x = 1,599.32

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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.