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Finding the Fourth Proportional to 1,617.76, 2,227.68 and 1,581.44

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Solution

The fourth proportional to 1,617.76, 2,227.68 and 1,581.44 is: 2,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.76 : 2,227.68 = 1,581.44 : x
  2. Step 2: Convert to fraction form
    1,617.76/2,227.68 = 1,581.44/x
  3. Step 3: Cross multiply
    1,617.76x = 2,227.68 × 1,581.44
  4. Step 4: Simplify right side
    1,617.76x = 3,522,942.26
  5. Step 5: Solve for x
    x = 3,522,942.26/1,617.76
  6. Step 6: Final answer
    x = 2,177.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.