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Finding the Fourth Proportional to 2,751.11, 3,797.24 and 1,702.56

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Solution

The fourth proportional to 2,751.11, 3,797.24 and 1,702.56 is: 2,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.11 : 3,797.24 = 1,702.56 : x
  2. Step 2: Convert to fraction form
    2,751.11/3,797.24 = 1,702.56/x
  3. Step 3: Cross multiply
    2,751.11x = 3,797.24 × 1,702.56
  4. Step 4: Simplify right side
    2,751.11x = 6,465,028.93
  5. Step 5: Solve for x
    x = 6,465,028.93/2,751.11
  6. Step 6: Final answer
    x = 2,349.97

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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.