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Finding the Fourth Proportional to 2,834.88, 3,910.77 and 2,461.38

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Solution

The fourth proportional to 2,834.88, 3,910.77 and 2,461.38 is: 3,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.88 : 3,910.77 = 2,461.38 : x
  2. Step 2: Convert to fraction form
    2,834.88/3,910.77 = 2,461.38/x
  3. Step 3: Cross multiply
    2,834.88x = 3,910.77 × 2,461.38
  4. Step 4: Simplify right side
    2,834.88x = 9,625,891.06
  5. Step 5: Solve for x
    x = 9,625,891.06/2,834.88
  6. Step 6: Final answer
    x = 3,395.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.