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Finding the Fourth Proportional to 2,182.47, 3,273.30 and 622.14

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Solution

The fourth proportional to 2,182.47, 3,273.30 and 622.14 is: 933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.47 : 3,273.30 = 622.14 : x
  2. Step 2: Convert to fraction form
    2,182.47/3,273.30 = 622.14/x
  3. Step 3: Cross multiply
    2,182.47x = 3,273.30 × 622.14
  4. Step 4: Simplify right side
    2,182.47x = 2,036,450.86
  5. Step 5: Solve for x
    x = 2,036,450.86/2,182.47
  6. Step 6: Final answer
    x = 933.09

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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.