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Finding the Fourth Proportional to 3,454.96, 5,178.87 and 1,604.57

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Solution

The fourth proportional to 3,454.96, 5,178.87 and 1,604.57 is: 2,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.96 : 5,178.87 = 1,604.57 : x
  2. Step 2: Convert to fraction form
    3,454.96/5,178.87 = 1,604.57/x
  3. Step 3: Cross multiply
    3,454.96x = 5,178.87 × 1,604.57
  4. Step 4: Simplify right side
    3,454.96x = 8,309,833.54
  5. Step 5: Solve for x
    x = 8,309,833.54/3,454.96
  6. Step 6: Final answer
    x = 2,405.19

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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.