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Finding the Fourth Proportional to 3,096, 4,273.56 and 1,770.48

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Solution

The fourth proportional to 3,096, 4,273.56 and 1,770.48 is: 2,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 4,273.56 = 1,770.48 : x
  2. Step 2: Convert to fraction form
    3,096/4,273.56 = 1,770.48/x
  3. Step 3: Cross multiply
    3,096x = 4,273.56 × 1,770.48
  4. Step 4: Simplify right side
    3,096x = 7,566,252.51
  5. Step 5: Solve for x
    x = 7,566,252.51/3,096
  6. Step 6: Final answer
    x = 2,443.88

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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.