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Finding the Fourth Proportional to 3,514.41, 4,850 and 1,942.54

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Solution

The fourth proportional to 3,514.41, 4,850 and 1,942.54 is: 2,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.41 : 4,850 = 1,942.54 : x
  2. Step 2: Convert to fraction form
    3,514.41/4,850 = 1,942.54/x
  3. Step 3: Cross multiply
    3,514.41x = 4,850 × 1,942.54
  4. Step 4: Simplify right side
    3,514.41x = 9,421,319
  5. Step 5: Solve for x
    x = 9,421,319/3,514.41
  6. Step 6: Final answer
    x = 2,680.77

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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.