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Finding the Fourth Proportional to 2,342, 3,231.96 and 1,514

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Solution

The fourth proportional to 2,342, 3,231.96 and 1,514 is: 2,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342 : 3,231.96 = 1,514 : x
  2. Step 2: Convert to fraction form
    2,342/3,231.96 = 1,514/x
  3. Step 3: Cross multiply
    2,342x = 3,231.96 × 1,514
  4. Step 4: Simplify right side
    2,342x = 4,893,187.44
  5. Step 5: Solve for x
    x = 4,893,187.44/2,342
  6. Step 6: Final answer
    x = 2,089.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.