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Finding the Fourth Proportional to 2,343.74, 3,514.74 and 699.73

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Solution

The fourth proportional to 2,343.74, 3,514.74 and 699.73 is: 1,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.74 : 3,514.74 = 699.73 : x
  2. Step 2: Convert to fraction form
    2,343.74/3,514.74 = 699.73/x
  3. Step 3: Cross multiply
    2,343.74x = 3,514.74 × 699.73
  4. Step 4: Simplify right side
    2,343.74x = 2,459,351.45
  5. Step 5: Solve for x
    x = 2,459,351.45/2,343.74
  6. Step 6: Final answer
    x = 1,049.33

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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.