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Finding the Fourth Proportional to 1,965.48, 2,949.30 and 812.04

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Solution

The fourth proportional to 1,965.48, 2,949.30 and 812.04 is: 1,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.48 : 2,949.30 = 812.04 : x
  2. Step 2: Convert to fraction form
    1,965.48/2,949.30 = 812.04/x
  3. Step 3: Cross multiply
    1,965.48x = 2,949.30 × 812.04
  4. Step 4: Simplify right side
    1,965.48x = 2,394,949.57
  5. Step 5: Solve for x
    x = 2,394,949.57/1,965.48
  6. Step 6: Final answer
    x = 1,218.51

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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.