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Finding the Fourth Proportional to 3,097, 4,273.80 and 1,770.64

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Solution

The fourth proportional to 3,097, 4,273.80 and 1,770.64 is: 2,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 4,273.80 = 1,770.64 : x
  2. Step 2: Convert to fraction form
    3,097/4,273.80 = 1,770.64/x
  3. Step 3: Cross multiply
    3,097x = 4,273.80 × 1,770.64
  4. Step 4: Simplify right side
    3,097x = 7,567,361.23
  5. Step 5: Solve for x
    x = 7,567,361.23/3,097
  6. Step 6: Final answer
    x = 2,443.45

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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.