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Finding the Fourth Proportional to 3,180.30, 4,770.45 and 2,796.30

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Solution

The fourth proportional to 3,180.30, 4,770.45 and 2,796.30 is: 4,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.30 : 4,770.45 = 2,796.30 : x
  2. Step 2: Convert to fraction form
    3,180.30/4,770.45 = 2,796.30/x
  3. Step 3: Cross multiply
    3,180.30x = 4,770.45 × 2,796.30
  4. Step 4: Simplify right side
    3,180.30x = 13,339,609.34
  5. Step 5: Solve for x
    x = 13,339,609.34/3,180.30
  6. Step 6: Final answer
    x = 4,194.45

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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.