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Finding the Fourth Proportional to 3,262.00, 4,893.32 and 922.02

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Solution

The fourth proportional to 3,262.00, 4,893.32 and 922.02 is: 1,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.00 : 4,893.32 = 922.02 : x
  2. Step 2: Convert to fraction form
    3,262.00/4,893.32 = 922.02/x
  3. Step 3: Cross multiply
    3,262.00x = 4,893.32 × 922.02
  4. Step 4: Simplify right side
    3,262.00x = 4,511,734.30
  5. Step 5: Solve for x
    x = 4,511,734.30/3,262.00
  6. Step 6: Final answer
    x = 1,383.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.