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Finding the Fourth Proportional to 1,662.28, 2,492.96 and 1,198.68

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Solution

The fourth proportional to 1,662.28, 2,492.96 and 1,198.68 is: 1,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.28 : 2,492.96 = 1,198.68 : x
  2. Step 2: Convert to fraction form
    1,662.28/2,492.96 = 1,198.68/x
  3. Step 3: Cross multiply
    1,662.28x = 2,492.96 × 1,198.68
  4. Step 4: Simplify right side
    1,662.28x = 2,988,261.29
  5. Step 5: Solve for x
    x = 2,988,261.29/1,662.28
  6. Step 6: Final answer
    x = 1,797.69

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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.