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Finding the Fourth Proportional to 2,600.90, 3,589.48 and 1,422.15

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Solution

The fourth proportional to 2,600.90, 3,589.48 and 1,422.15 is: 1,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.90 : 3,589.48 = 1,422.15 : x
  2. Step 2: Convert to fraction form
    2,600.90/3,589.48 = 1,422.15/x
  3. Step 3: Cross multiply
    2,600.90x = 3,589.48 × 1,422.15
  4. Step 4: Simplify right side
    2,600.90x = 5,104,778.98
  5. Step 5: Solve for x
    x = 5,104,778.98/2,600.90
  6. Step 6: Final answer
    x = 1,962.70

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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.