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Finding the Fourth Proportional to 2,638.96, 3,958.44 and 691.18

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Solution

The fourth proportional to 2,638.96, 3,958.44 and 691.18 is: 1,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.96 : 3,958.44 = 691.18 : x
  2. Step 2: Convert to fraction form
    2,638.96/3,958.44 = 691.18/x
  3. Step 3: Cross multiply
    2,638.96x = 3,958.44 × 691.18
  4. Step 4: Simplify right side
    2,638.96x = 2,735,994.56
  5. Step 5: Solve for x
    x = 2,735,994.56/2,638.96
  6. Step 6: Final answer
    x = 1,036.77

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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.