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Finding the Fourth Proportional to 2,638.98, 3,958.17 and 691.34

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Solution

The fourth proportional to 2,638.98, 3,958.17 and 691.34 is: 1,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.98 : 3,958.17 = 691.34 : x
  2. Step 2: Convert to fraction form
    2,638.98/3,958.17 = 691.34/x
  3. Step 3: Cross multiply
    2,638.98x = 3,958.17 × 691.34
  4. Step 4: Simplify right side
    2,638.98x = 2,736,418.86
  5. Step 5: Solve for x
    x = 2,736,418.86/2,638.98
  6. Step 6: Final answer
    x = 1,036.92

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