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Finding the Fourth Proportional to 2,296.03, 3,441.75 and 834.79

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Solution

The fourth proportional to 2,296.03, 3,441.75 and 834.79 is: 1,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.03 : 3,441.75 = 834.79 : x
  2. Step 2: Convert to fraction form
    2,296.03/3,441.75 = 834.79/x
  3. Step 3: Cross multiply
    2,296.03x = 3,441.75 × 834.79
  4. Step 4: Simplify right side
    2,296.03x = 2,873,138.48
  5. Step 5: Solve for x
    x = 2,873,138.48/2,296.03
  6. Step 6: Final answer
    x = 1,251.35

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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.