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Finding the Fourth Proportional to 1,722.44, 2,583.27 and 489.82

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Solution

The fourth proportional to 1,722.44, 2,583.27 and 489.82 is: 734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.44 : 2,583.27 = 489.82 : x
  2. Step 2: Convert to fraction form
    1,722.44/2,583.27 = 489.82/x
  3. Step 3: Cross multiply
    1,722.44x = 2,583.27 × 489.82
  4. Step 4: Simplify right side
    1,722.44x = 1,265,337.31
  5. Step 5: Solve for x
    x = 1,265,337.31/1,722.44
  6. Step 6: Final answer
    x = 734.62

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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.