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Finding the Fourth Proportional to 1,797.97, 2,696.95 and 1,468.55

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Solution

The fourth proportional to 1,797.97, 2,696.95 and 1,468.55 is: 2,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.97 : 2,696.95 = 1,468.55 : x
  2. Step 2: Convert to fraction form
    1,797.97/2,696.95 = 1,468.55/x
  3. Step 3: Cross multiply
    1,797.97x = 2,696.95 × 1,468.55
  4. Step 4: Simplify right side
    1,797.97x = 3,960,605.92
  5. Step 5: Solve for x
    x = 3,960,605.92/1,797.97
  6. Step 6: Final answer
    x = 2,202.82

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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.