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Finding the Fourth Proportional to 2,676.54, 3,695.10 and 1,682.04

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Solution

The fourth proportional to 2,676.54, 3,695.10 and 1,682.04 is: 2,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.54 : 3,695.10 = 1,682.04 : x
  2. Step 2: Convert to fraction form
    2,676.54/3,695.10 = 1,682.04/x
  3. Step 3: Cross multiply
    2,676.54x = 3,695.10 × 1,682.04
  4. Step 4: Simplify right side
    2,676.54x = 6,215,306.00
  5. Step 5: Solve for x
    x = 6,215,306.00/2,676.54
  6. Step 6: Final answer
    x = 2,322.14

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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.