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Finding the Fourth Proportional to 4,120.60, 6,179.70 and 1,654.60

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Solution

The fourth proportional to 4,120.60, 6,179.70 and 1,654.60 is: 2,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.60 : 6,179.70 = 1,654.60 : x
  2. Step 2: Convert to fraction form
    4,120.60/6,179.70 = 1,654.60/x
  3. Step 3: Cross multiply
    4,120.60x = 6,179.70 × 1,654.60
  4. Step 4: Simplify right side
    4,120.60x = 10,224,931.62
  5. Step 5: Solve for x
    x = 10,224,931.62/4,120.60
  6. Step 6: Final answer
    x = 2,481.42

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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.