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Finding the Fourth Proportional to 3,096, 4,644.72 and 2,228.76

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Solution

The fourth proportional to 3,096, 4,644.72 and 2,228.76 is: 3,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 4,644.72 = 2,228.76 : x
  2. Step 2: Convert to fraction form
    3,096/4,644.72 = 2,228.76/x
  3. Step 3: Cross multiply
    3,096x = 4,644.72 × 2,228.76
  4. Step 4: Simplify right side
    3,096x = 10,351,966.15
  5. Step 5: Solve for x
    x = 10,351,966.15/3,096
  6. Step 6: Final answer
    x = 3,343.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.