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Finding the Fourth Proportional to 2,295.71, 3,440.82 and 1,198.11

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Solution

The fourth proportional to 2,295.71, 3,440.82 and 1,198.11 is: 1,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.71 : 3,440.82 = 1,198.11 : x
  2. Step 2: Convert to fraction form
    2,295.71/3,440.82 = 1,198.11/x
  3. Step 3: Cross multiply
    2,295.71x = 3,440.82 × 1,198.11
  4. Step 4: Simplify right side
    2,295.71x = 4,122,480.85
  5. Step 5: Solve for x
    x = 4,122,480.85/2,295.71
  6. Step 6: Final answer
    x = 1,795.74

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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.