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Finding the Fourth Proportional to 2,676.57, 3,695.35 and 1,683.31

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Solution

The fourth proportional to 2,676.57, 3,695.35 and 1,683.31 is: 2,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.57 : 3,695.35 = 1,683.31 : x
  2. Step 2: Convert to fraction form
    2,676.57/3,695.35 = 1,683.31/x
  3. Step 3: Cross multiply
    2,676.57x = 3,695.35 × 1,683.31
  4. Step 4: Simplify right side
    2,676.57x = 6,220,401.12
  5. Step 5: Solve for x
    x = 6,220,401.12/2,676.57
  6. Step 6: Final answer
    x = 2,324.02

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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.