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Finding the Fourth Proportional to 3,096.88, 4,269.48 and 2,211.14

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Solution

The fourth proportional to 3,096.88, 4,269.48 and 2,211.14 is: 3,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.88 : 4,269.48 = 2,211.14 : x
  2. Step 2: Convert to fraction form
    3,096.88/4,269.48 = 2,211.14/x
  3. Step 3: Cross multiply
    3,096.88x = 4,269.48 × 2,211.14
  4. Step 4: Simplify right side
    3,096.88x = 9,440,420.39
  5. Step 5: Solve for x
    x = 9,440,420.39/3,096.88
  6. Step 6: Final answer
    x = 3,048.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.