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Finding the Fourth Proportional to 1,797.26, 2,478.83 and 1,575.83

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Solution

The fourth proportional to 1,797.26, 2,478.83 and 1,575.83 is: 2,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.26 : 2,478.83 = 1,575.83 : x
  2. Step 2: Convert to fraction form
    1,797.26/2,478.83 = 1,575.83/x
  3. Step 3: Cross multiply
    1,797.26x = 2,478.83 × 1,575.83
  4. Step 4: Simplify right side
    1,797.26x = 3,906,194.41
  5. Step 5: Solve for x
    x = 3,906,194.41/1,797.26
  6. Step 6: Final answer
    x = 2,173.42

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