Home / 1,722.24-2,583.20-489.60

Finding the Fourth Proportional to 1,722.24, 2,583.20 and 489.60

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Solution

The fourth proportional to 1,722.24, 2,583.20 and 489.60 is: 734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.24 : 2,583.20 = 489.60 : x
  2. Step 2: Convert to fraction form
    1,722.24/2,583.20 = 489.60/x
  3. Step 3: Cross multiply
    1,722.24x = 2,583.20 × 489.60
  4. Step 4: Simplify right side
    1,722.24x = 1,264,734.72
  5. Step 5: Solve for x
    x = 1,264,734.72/1,722.24
  6. Step 6: Final answer
    x = 734.35

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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.