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Finding the Fourth Proportional to 6,163.31, 9,245.43 and 1,780.80

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Solution

The fourth proportional to 6,163.31, 9,245.43 and 1,780.80 is: 2,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.31 : 9,245.43 = 1,780.80 : x
  2. Step 2: Convert to fraction form
    6,163.31/9,245.43 = 1,780.80/x
  3. Step 3: Cross multiply
    6,163.31x = 9,245.43 × 1,780.80
  4. Step 4: Simplify right side
    6,163.31x = 16,464,261.74
  5. Step 5: Solve for x
    x = 16,464,261.74/6,163.31
  6. Step 6: Final answer
    x = 2,671.34

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