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Finding the Fourth Proportional to 4,119.34, 6,179.10 and 1,197.68

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Solution

The fourth proportional to 4,119.34, 6,179.10 and 1,197.68 is: 1,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.34 : 6,179.10 = 1,197.68 : x
  2. Step 2: Convert to fraction form
    4,119.34/6,179.10 = 1,197.68/x
  3. Step 3: Cross multiply
    4,119.34x = 6,179.10 × 1,197.68
  4. Step 4: Simplify right side
    4,119.34x = 7,400,584.49
  5. Step 5: Solve for x
    x = 7,400,584.49/4,119.34
  6. Step 6: Final answer
    x = 1,796.55

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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.