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Finding the Fourth Proportional to 3,654.60, 5,481.90 and 1,678.92

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Solution

The fourth proportional to 3,654.60, 5,481.90 and 1,678.92 is: 2,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.60 : 5,481.90 = 1,678.92 : x
  2. Step 2: Convert to fraction form
    3,654.60/5,481.90 = 1,678.92/x
  3. Step 3: Cross multiply
    3,654.60x = 5,481.90 × 1,678.92
  4. Step 4: Simplify right side
    3,654.60x = 9,203,671.55
  5. Step 5: Solve for x
    x = 9,203,671.55/3,654.60
  6. Step 6: Final answer
    x = 2,518.38

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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.