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Finding the Fourth Proportional to 1,724.79, 2,379.78 and 1,016.58

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Solution

The fourth proportional to 1,724.79, 2,379.78 and 1,016.58 is: 1,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.79 : 2,379.78 = 1,016.58 : x
  2. Step 2: Convert to fraction form
    1,724.79/2,379.78 = 1,016.58/x
  3. Step 3: Cross multiply
    1,724.79x = 2,379.78 × 1,016.58
  4. Step 4: Simplify right side
    1,724.79x = 2,419,245.68
  5. Step 5: Solve for x
    x = 2,419,245.68/1,724.79
  6. Step 6: Final answer
    x = 1,402.63

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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.