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Finding the Fourth Proportional to 3,096.28, 4,644.38 and 787.80

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Solution

The fourth proportional to 3,096.28, 4,644.38 and 787.80 is: 1,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.28 : 4,644.38 = 787.80 : x
  2. Step 2: Convert to fraction form
    3,096.28/4,644.38 = 787.80/x
  3. Step 3: Cross multiply
    3,096.28x = 4,644.38 × 787.80
  4. Step 4: Simplify right side
    3,096.28x = 3,658,842.56
  5. Step 5: Solve for x
    x = 3,658,842.56/3,096.28
  6. Step 6: Final answer
    x = 1,181.69

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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.