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Finding the Fourth Proportional to 1,722.36, 2,583.44 and 489.76

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Solution

The fourth proportional to 1,722.36, 2,583.44 and 489.76 is: 734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.36 : 2,583.44 = 489.76 : x
  2. Step 2: Convert to fraction form
    1,722.36/2,583.44 = 489.76/x
  3. Step 3: Cross multiply
    1,722.36x = 2,583.44 × 489.76
  4. Step 4: Simplify right side
    1,722.36x = 1,265,265.57
  5. Step 5: Solve for x
    x = 1,265,265.57/1,722.36
  6. Step 6: Final answer
    x = 734.61

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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.