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Finding the Fourth Proportional to 2,797.25, 4,195.33 and 1,065.47

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Solution

The fourth proportional to 2,797.25, 4,195.33 and 1,065.47 is: 1,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.25 : 4,195.33 = 1,065.47 : x
  2. Step 2: Convert to fraction form
    2,797.25/4,195.33 = 1,065.47/x
  3. Step 3: Cross multiply
    2,797.25x = 4,195.33 × 1,065.47
  4. Step 4: Simplify right side
    2,797.25x = 4,469,974.61
  5. Step 5: Solve for x
    x = 4,469,974.61/2,797.25
  6. Step 6: Final answer
    x = 1,597.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.