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Finding the Fourth Proportional to 2,546.63, 3,819.90 and 697.74

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Solution

The fourth proportional to 2,546.63, 3,819.90 and 697.74 is: 1,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.63 : 3,819.90 = 697.74 : x
  2. Step 2: Convert to fraction form
    2,546.63/3,819.90 = 697.74/x
  3. Step 3: Cross multiply
    2,546.63x = 3,819.90 × 697.74
  4. Step 4: Simplify right side
    2,546.63x = 2,665,297.03
  5. Step 5: Solve for x
    x = 2,665,297.03/2,546.63
  6. Step 6: Final answer
    x = 1,046.60

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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.