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Finding the Fourth Proportional to 2,036.57, 3,049.57 and 1,745.93

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Solution

The fourth proportional to 2,036.57, 3,049.57 and 1,745.93 is: 2,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.57 : 3,049.57 = 1,745.93 : x
  2. Step 2: Convert to fraction form
    2,036.57/3,049.57 = 1,745.93/x
  3. Step 3: Cross multiply
    2,036.57x = 3,049.57 × 1,745.93
  4. Step 4: Simplify right side
    2,036.57x = 5,324,331.39
  5. Step 5: Solve for x
    x = 5,324,331.39/2,036.57
  6. Step 6: Final answer
    x = 2,614.36

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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.