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Finding the Fourth Proportional to 2,679.40, 4,018.83 and 731.62

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Solution

The fourth proportional to 2,679.40, 4,018.83 and 731.62 is: 1,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.40 : 4,018.83 = 731.62 : x
  2. Step 2: Convert to fraction form
    2,679.40/4,018.83 = 731.62/x
  3. Step 3: Cross multiply
    2,679.40x = 4,018.83 × 731.62
  4. Step 4: Simplify right side
    2,679.40x = 2,940,256.40
  5. Step 5: Solve for x
    x = 2,940,256.40/2,679.40
  6. Step 6: Final answer
    x = 1,097.36

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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.