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Finding the Fourth Proportional to 2,766.97, 3,815.09 and 2,260.95

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Solution

The fourth proportional to 2,766.97, 3,815.09 and 2,260.95 is: 3,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.97 : 3,815.09 = 2,260.95 : x
  2. Step 2: Convert to fraction form
    2,766.97/3,815.09 = 2,260.95/x
  3. Step 3: Cross multiply
    2,766.97x = 3,815.09 × 2,260.95
  4. Step 4: Simplify right side
    2,766.97x = 8,625,733.39
  5. Step 5: Solve for x
    x = 8,625,733.39/2,766.97
  6. Step 6: Final answer
    x = 3,117.40

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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.