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Finding the Fourth Proportional to 2,507.22, 3,455.97 and 1,975.26

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Solution

The fourth proportional to 2,507.22, 3,455.97 and 1,975.26 is: 2,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.22 : 3,455.97 = 1,975.26 : x
  2. Step 2: Convert to fraction form
    2,507.22/3,455.97 = 1,975.26/x
  3. Step 3: Cross multiply
    2,507.22x = 3,455.97 × 1,975.26
  4. Step 4: Simplify right side
    2,507.22x = 6,826,439.30
  5. Step 5: Solve for x
    x = 6,826,439.30/2,507.22
  6. Step 6: Final answer
    x = 2,722.71

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