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Finding the Fourth Proportional to 2,614.96, 3,608.84 and 1,719.28

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Solution

The fourth proportional to 2,614.96, 3,608.84 and 1,719.28 is: 2,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.96 : 3,608.84 = 1,719.28 : x
  2. Step 2: Convert to fraction form
    2,614.96/3,608.84 = 1,719.28/x
  3. Step 3: Cross multiply
    2,614.96x = 3,608.84 × 1,719.28
  4. Step 4: Simplify right side
    2,614.96x = 6,204,606.44
  5. Step 5: Solve for x
    x = 6,204,606.44/2,614.96
  6. Step 6: Final answer
    x = 2,372.73

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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.