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Finding the Fourth Proportional to 2,638.98, 3,958.34 and 691.11

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Solution

The fourth proportional to 2,638.98, 3,958.34 and 691.11 is: 1,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.98 : 3,958.34 = 691.11 : x
  2. Step 2: Convert to fraction form
    2,638.98/3,958.34 = 691.11/x
  3. Step 3: Cross multiply
    2,638.98x = 3,958.34 × 691.11
  4. Step 4: Simplify right side
    2,638.98x = 2,735,644.90
  5. Step 5: Solve for x
    x = 2,735,644.90/2,638.98
  6. Step 6: Final answer
    x = 1,036.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.