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Finding the Fourth Proportional to 2,347.75, 3,517.01 and 1,797.24

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Solution

The fourth proportional to 2,347.75, 3,517.01 and 1,797.24 is: 2,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.75 : 3,517.01 = 1,797.24 : x
  2. Step 2: Convert to fraction form
    2,347.75/3,517.01 = 1,797.24/x
  3. Step 3: Cross multiply
    2,347.75x = 3,517.01 × 1,797.24
  4. Step 4: Simplify right side
    2,347.75x = 6,320,899.68
  5. Step 5: Solve for x
    x = 6,320,899.68/2,347.75
  6. Step 6: Final answer
    x = 2,692.33

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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.