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Finding the Fourth Proportional to 2,029.76, 3,044.66 and 731.24

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Solution

The fourth proportional to 2,029.76, 3,044.66 and 731.24 is: 1,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.76 : 3,044.66 = 731.24 : x
  2. Step 2: Convert to fraction form
    2,029.76/3,044.66 = 731.24/x
  3. Step 3: Cross multiply
    2,029.76x = 3,044.66 × 731.24
  4. Step 4: Simplify right side
    2,029.76x = 2,226,358.30
  5. Step 5: Solve for x
    x = 2,226,358.30/2,029.76
  6. Step 6: Final answer
    x = 1,096.86

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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.