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Finding the Fourth Proportional to 2,455.92, 3,690 and 2,179.44

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Solution

The fourth proportional to 2,455.92, 3,690 and 2,179.44 is: 3,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.92 : 3,690 = 2,179.44 : x
  2. Step 2: Convert to fraction form
    2,455.92/3,690 = 2,179.44/x
  3. Step 3: Cross multiply
    2,455.92x = 3,690 × 2,179.44
  4. Step 4: Simplify right side
    2,455.92x = 8,042,133.60
  5. Step 5: Solve for x
    x = 8,042,133.60/2,455.92
  6. Step 6: Final answer
    x = 3,274.59

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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.