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Finding the Fourth Proportional to 2,342.46, 3,514 and 861.48

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Solution

The fourth proportional to 2,342.46, 3,514 and 861.48 is: 1,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.46 : 3,514 = 861.48 : x
  2. Step 2: Convert to fraction form
    2,342.46/3,514 = 861.48/x
  3. Step 3: Cross multiply
    2,342.46x = 3,514 × 861.48
  4. Step 4: Simplify right side
    2,342.46x = 3,027,240.72
  5. Step 5: Solve for x
    x = 3,027,240.72/2,342.46
  6. Step 6: Final answer
    x = 1,292.33

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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.