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Finding the Fourth Proportional to 2,622.06, 3,930.66 and 1,467

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Solution

The fourth proportional to 2,622.06, 3,930.66 and 1,467 is: 2,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.06 : 3,930.66 = 1,467 : x
  2. Step 2: Convert to fraction form
    2,622.06/3,930.66 = 1,467/x
  3. Step 3: Cross multiply
    2,622.06x = 3,930.66 × 1,467
  4. Step 4: Simplify right side
    2,622.06x = 5,766,278.22
  5. Step 5: Solve for x
    x = 5,766,278.22/2,622.06
  6. Step 6: Final answer
    x = 2,199.14

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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.