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Finding the Fourth Proportional to 2,044.90, 3,067.76 and 746.34

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Solution

The fourth proportional to 2,044.90, 3,067.76 and 746.34 is: 1,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.90 : 3,067.76 = 746.34 : x
  2. Step 2: Convert to fraction form
    2,044.90/3,067.76 = 746.34/x
  3. Step 3: Cross multiply
    2,044.90x = 3,067.76 × 746.34
  4. Step 4: Simplify right side
    2,044.90x = 2,289,592.00
  5. Step 5: Solve for x
    x = 2,289,592.00/2,044.90
  6. Step 6: Final answer
    x = 1,119.66

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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.