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Finding the Fourth Proportional to 2,757.24, 3,805.11 and 1,695.60

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Solution

The fourth proportional to 2,757.24, 3,805.11 and 1,695.60 is: 2,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.24 : 3,805.11 = 1,695.60 : x
  2. Step 2: Convert to fraction form
    2,757.24/3,805.11 = 1,695.60/x
  3. Step 3: Cross multiply
    2,757.24x = 3,805.11 × 1,695.60
  4. Step 4: Simplify right side
    2,757.24x = 6,451,944.52
  5. Step 5: Solve for x
    x = 6,451,944.52/2,757.24
  6. Step 6: Final answer
    x = 2,340.00

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Why These Related Problems?

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