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Finding the Fourth Proportional to 2,600.96, 3,589.26 and 1,422.05

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Solution

The fourth proportional to 2,600.96, 3,589.26 and 1,422.05 is: 1,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.96 : 3,589.26 = 1,422.05 : x
  2. Step 2: Convert to fraction form
    2,600.96/3,589.26 = 1,422.05/x
  3. Step 3: Cross multiply
    2,600.96x = 3,589.26 × 1,422.05
  4. Step 4: Simplify right side
    2,600.96x = 5,104,089.24
  5. Step 5: Solve for x
    x = 5,104,089.24/2,600.96
  6. Step 6: Final answer
    x = 1,962.39

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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.