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Finding the Fourth Proportional to 2,141.29, 3,212.07 and 735.79

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Solution

The fourth proportional to 2,141.29, 3,212.07 and 735.79 is: 1,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.29 : 3,212.07 = 735.79 : x
  2. Step 2: Convert to fraction form
    2,141.29/3,212.07 = 735.79/x
  3. Step 3: Cross multiply
    2,141.29x = 3,212.07 × 735.79
  4. Step 4: Simplify right side
    2,141.29x = 2,363,408.99
  5. Step 5: Solve for x
    x = 2,363,408.99/2,141.29
  6. Step 6: Final answer
    x = 1,103.73

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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.