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Finding the Fourth Proportional to 2,073.42, 3,105.93 and 961.27

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Solution

The fourth proportional to 2,073.42, 3,105.93 and 961.27 is: 1,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.42 : 3,105.93 = 961.27 : x
  2. Step 2: Convert to fraction form
    2,073.42/3,105.93 = 961.27/x
  3. Step 3: Cross multiply
    2,073.42x = 3,105.93 × 961.27
  4. Step 4: Simplify right side
    2,073.42x = 2,985,637.33
  5. Step 5: Solve for x
    x = 2,985,637.33/2,073.42
  6. Step 6: Final answer
    x = 1,439.96

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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.