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Finding the Fourth Proportional to 2,738.86, 3,780.34 and 1,690.31

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Solution

The fourth proportional to 2,738.86, 3,780.34 and 1,690.31 is: 2,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.86 : 3,780.34 = 1,690.31 : x
  2. Step 2: Convert to fraction form
    2,738.86/3,780.34 = 1,690.31/x
  3. Step 3: Cross multiply
    2,738.86x = 3,780.34 × 1,690.31
  4. Step 4: Simplify right side
    2,738.86x = 6,389,951.73
  5. Step 5: Solve for x
    x = 6,389,951.73/2,738.86
  6. Step 6: Final answer
    x = 2,333.07

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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.