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Finding the Fourth Proportional to 2,697.57, 3,745.04 and 2,617.38

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Solution

The fourth proportional to 2,697.57, 3,745.04 and 2,617.38 is: 3,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.57 : 3,745.04 = 2,617.38 : x
  2. Step 2: Convert to fraction form
    2,697.57/3,745.04 = 2,617.38/x
  3. Step 3: Cross multiply
    2,697.57x = 3,745.04 × 2,617.38
  4. Step 4: Simplify right side
    2,697.57x = 9,802,179.71
  5. Step 5: Solve for x
    x = 9,802,179.71/2,697.57
  6. Step 6: Final answer
    x = 3,633.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.