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Finding the Fourth Proportional to 2,619, 3,614.32 and 1,440.05

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Solution

The fourth proportional to 2,619, 3,614.32 and 1,440.05 is: 1,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619 : 3,614.32 = 1,440.05 : x
  2. Step 2: Convert to fraction form
    2,619/3,614.32 = 1,440.05/x
  3. Step 3: Cross multiply
    2,619x = 3,614.32 × 1,440.05
  4. Step 4: Simplify right side
    2,619x = 5,204,785.24
  5. Step 5: Solve for x
    x = 5,204,785.24/2,619
  6. Step 6: Final answer
    x = 1,987.32

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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.