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Finding the Fourth Proportional to 2,132.75, 3,199.10 and 834.19

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Solution

The fourth proportional to 2,132.75, 3,199.10 and 834.19 is: 1,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.75 : 3,199.10 = 834.19 : x
  2. Step 2: Convert to fraction form
    2,132.75/3,199.10 = 834.19/x
  3. Step 3: Cross multiply
    2,132.75x = 3,199.10 × 834.19
  4. Step 4: Simplify right side
    2,132.75x = 2,668,645.06
  5. Step 5: Solve for x
    x = 2,668,645.06/2,132.75
  6. Step 6: Final answer
    x = 1,251.27

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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.