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Finding the Fourth Proportional to 2,677.48, 3,694.33 and 1,682.40

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Solution

The fourth proportional to 2,677.48, 3,694.33 and 1,682.40 is: 2,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.48 : 3,694.33 = 1,682.40 : x
  2. Step 2: Convert to fraction form
    2,677.48/3,694.33 = 1,682.40/x
  3. Step 3: Cross multiply
    2,677.48x = 3,694.33 × 1,682.40
  4. Step 4: Simplify right side
    2,677.48x = 6,215,340.79
  5. Step 5: Solve for x
    x = 6,215,340.79/2,677.48
  6. Step 6: Final answer
    x = 2,321.34

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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.