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Finding the Fourth Proportional to 2,604.61, 3,906.10 and 872.83

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Solution

The fourth proportional to 2,604.61, 3,906.10 and 872.83 is: 1,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.61 : 3,906.10 = 872.83 : x
  2. Step 2: Convert to fraction form
    2,604.61/3,906.10 = 872.83/x
  3. Step 3: Cross multiply
    2,604.61x = 3,906.10 × 872.83
  4. Step 4: Simplify right side
    2,604.61x = 3,409,340.36
  5. Step 5: Solve for x
    x = 3,409,340.36/2,604.61
  6. Step 6: Final answer
    x = 1,308.97

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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.