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Finding the Fourth Proportional to 2,308.44, 3,461.46 and 992.04

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Solution

The fourth proportional to 2,308.44, 3,461.46 and 992.04 is: 1,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.44 : 3,461.46 = 992.04 : x
  2. Step 2: Convert to fraction form
    2,308.44/3,461.46 = 992.04/x
  3. Step 3: Cross multiply
    2,308.44x = 3,461.46 × 992.04
  4. Step 4: Simplify right side
    2,308.44x = 3,433,906.78
  5. Step 5: Solve for x
    x = 3,433,906.78/2,308.44
  6. Step 6: Final answer
    x = 1,487.54

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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.