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Finding the Fourth Proportional to 2,222.12, 3,333.72 and 922.88

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Solution

The fourth proportional to 2,222.12, 3,333.72 and 922.88 is: 1,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.12 : 3,333.72 = 922.88 : x
  2. Step 2: Convert to fraction form
    2,222.12/3,333.72 = 922.88/x
  3. Step 3: Cross multiply
    2,222.12x = 3,333.72 × 922.88
  4. Step 4: Simplify right side
    2,222.12x = 3,076,623.51
  5. Step 5: Solve for x
    x = 3,076,623.51/2,222.12
  6. Step 6: Final answer
    x = 1,384.54

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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.