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Finding the Fourth Proportional to 2,157.72, 2,974.23 and 1,761

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Solution

The fourth proportional to 2,157.72, 2,974.23 and 1,761 is: 2,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.72 : 2,974.23 = 1,761 : x
  2. Step 2: Convert to fraction form
    2,157.72/2,974.23 = 1,761/x
  3. Step 3: Cross multiply
    2,157.72x = 2,974.23 × 1,761
  4. Step 4: Simplify right side
    2,157.72x = 5,237,619.03
  5. Step 5: Solve for x
    x = 5,237,619.03/2,157.72
  6. Step 6: Final answer
    x = 2,427.39

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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.