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Finding the Fourth Proportional to 2,604.05, 3,906.75 and 1,044.11

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Solution

The fourth proportional to 2,604.05, 3,906.75 and 1,044.11 is: 1,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.05 : 3,906.75 = 1,044.11 : x
  2. Step 2: Convert to fraction form
    2,604.05/3,906.75 = 1,044.11/x
  3. Step 3: Cross multiply
    2,604.05x = 3,906.75 × 1,044.11
  4. Step 4: Simplify right side
    2,604.05x = 4,079,062.58
  5. Step 5: Solve for x
    x = 4,079,062.58/2,604.05
  6. Step 6: Final answer
    x = 1,566.43

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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.