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Finding the Fourth Proportional to 2,224.22, 3,334.52 and 926.66

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Solution

The fourth proportional to 2,224.22, 3,334.52 and 926.66 is: 1,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.22 : 3,334.52 = 926.66 : x
  2. Step 2: Convert to fraction form
    2,224.22/3,334.52 = 926.66/x
  3. Step 3: Cross multiply
    2,224.22x = 3,334.52 × 926.66
  4. Step 4: Simplify right side
    2,224.22x = 3,089,966.30
  5. Step 5: Solve for x
    x = 3,089,966.30/2,224.22
  6. Step 6: Final answer
    x = 1,389.24

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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.