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Finding the Fourth Proportional to 2,600.98, 3,589.41 and 1,422.03

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Solution

The fourth proportional to 2,600.98, 3,589.41 and 1,422.03 is: 1,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.98 : 3,589.41 = 1,422.03 : x
  2. Step 2: Convert to fraction form
    2,600.98/3,589.41 = 1,422.03/x
  3. Step 3: Cross multiply
    2,600.98x = 3,589.41 × 1,422.03
  4. Step 4: Simplify right side
    2,600.98x = 5,104,248.70
  5. Step 5: Solve for x
    x = 5,104,248.70/2,600.98
  6. Step 6: Final answer
    x = 1,962.43

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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.