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Finding the Fourth Proportional to 1,722.47, 2,583.32 and 489.85

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Solution

The fourth proportional to 1,722.47, 2,583.32 and 489.85 is: 734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.47 : 2,583.32 = 489.85 : x
  2. Step 2: Convert to fraction form
    1,722.47/2,583.32 = 489.85/x
  3. Step 3: Cross multiply
    1,722.47x = 2,583.32 × 489.85
  4. Step 4: Simplify right side
    1,722.47x = 1,265,431.77
  5. Step 5: Solve for x
    x = 1,265,431.77/1,722.47
  6. Step 6: Final answer
    x = 734.66

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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.