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Finding the Fourth Proportional to 2,676.03, 3,693.20 and 1,682.07

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Solution

The fourth proportional to 2,676.03, 3,693.20 and 1,682.07 is: 2,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.03 : 3,693.20 = 1,682.07 : x
  2. Step 2: Convert to fraction form
    2,676.03/3,693.20 = 1,682.07/x
  3. Step 3: Cross multiply
    2,676.03x = 3,693.20 × 1,682.07
  4. Step 4: Simplify right side
    2,676.03x = 6,212,220.92
  5. Step 5: Solve for x
    x = 6,212,220.92/2,676.03
  6. Step 6: Final answer
    x = 2,321.43

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1.5x scale

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.