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Finding the Fourth Proportional to 2,029.76, 3,046.04 and 731.28

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Solution

The fourth proportional to 2,029.76, 3,046.04 and 731.28 is: 1,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.76 : 3,046.04 = 731.28 : x
  2. Step 2: Convert to fraction form
    2,029.76/3,046.04 = 731.28/x
  3. Step 3: Cross multiply
    2,029.76x = 3,046.04 × 731.28
  4. Step 4: Simplify right side
    2,029.76x = 2,227,508.13
  5. Step 5: Solve for x
    x = 2,227,508.13/2,029.76
  6. Step 6: Final answer
    x = 1,097.42

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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.