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Finding the Fourth Proportional to 2,342.43, 3,514.05 and 699.08

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Solution

The fourth proportional to 2,342.43, 3,514.05 and 699.08 is: 1,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.43 : 3,514.05 = 699.08 : x
  2. Step 2: Convert to fraction form
    2,342.43/3,514.05 = 699.08/x
  3. Step 3: Cross multiply
    2,342.43x = 3,514.05 × 699.08
  4. Step 4: Simplify right side
    2,342.43x = 2,456,584.50
  5. Step 5: Solve for x
    x = 2,456,584.50/2,342.43
  6. Step 6: Final answer
    x = 1,048.73

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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.