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Finding the Fourth Proportional to 2,044.81, 3,064.64 and 1,107.71

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Solution

The fourth proportional to 2,044.81, 3,064.64 and 1,107.71 is: 1,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.81 : 3,064.64 = 1,107.71 : x
  2. Step 2: Convert to fraction form
    2,044.81/3,064.64 = 1,107.71/x
  3. Step 3: Cross multiply
    2,044.81x = 3,064.64 × 1,107.71
  4. Step 4: Simplify right side
    2,044.81x = 3,394,735.93
  5. Step 5: Solve for x
    x = 3,394,735.93/2,044.81
  6. Step 6: Final answer
    x = 1,660.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.