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Finding the Fourth Proportional to 2,172.24, 3,258.32 and 528.80

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Solution

The fourth proportional to 2,172.24, 3,258.32 and 528.80 is: 793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.24 : 3,258.32 = 528.80 : x
  2. Step 2: Convert to fraction form
    2,172.24/3,258.32 = 528.80/x
  3. Step 3: Cross multiply
    2,172.24x = 3,258.32 × 528.80
  4. Step 4: Simplify right side
    2,172.24x = 1,722,980.68
  5. Step 5: Solve for x
    x = 1,722,980.68/2,172.24
  6. Step 6: Final answer
    x = 793.18

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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.