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Finding the Fourth Proportional to 1,832.76, 2,748.59 and 662.62

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Solution

The fourth proportional to 1,832.76, 2,748.59 and 662.62 is: 993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.76 : 2,748.59 = 662.62 : x
  2. Step 2: Convert to fraction form
    1,832.76/2,748.59 = 662.62/x
  3. Step 3: Cross multiply
    1,832.76x = 2,748.59 × 662.62
  4. Step 4: Simplify right side
    1,832.76x = 1,821,270.71
  5. Step 5: Solve for x
    x = 1,821,270.71/1,832.76
  6. Step 6: Final answer
    x = 993.73

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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.