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Finding the Fourth Proportional to 2,872.89, 4,308.54 and 792.42

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Solution

The fourth proportional to 2,872.89, 4,308.54 and 792.42 is: 1,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.89 : 4,308.54 = 792.42 : x
  2. Step 2: Convert to fraction form
    2,872.89/4,308.54 = 792.42/x
  3. Step 3: Cross multiply
    2,872.89x = 4,308.54 × 792.42
  4. Step 4: Simplify right side
    2,872.89x = 3,414,173.27
  5. Step 5: Solve for x
    x = 3,414,173.27/2,872.89
  6. Step 6: Final answer
    x = 1,188.41

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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.