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Finding the Fourth Proportional to 3,096.14, 4,272.56 and 1,698.88

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Solution

The fourth proportional to 3,096.14, 4,272.56 and 1,698.88 is: 2,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.14 : 4,272.56 = 1,698.88 : x
  2. Step 2: Convert to fraction form
    3,096.14/4,272.56 = 1,698.88/x
  3. Step 3: Cross multiply
    3,096.14x = 4,272.56 × 1,698.88
  4. Step 4: Simplify right side
    3,096.14x = 7,258,566.73
  5. Step 5: Solve for x
    x = 7,258,566.73/3,096.14
  6. Step 6: Final answer
    x = 2,344.39

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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.