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Finding the Fourth Proportional to 1,589.52, 2,385.09 and 1,469.24

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Solution

The fourth proportional to 1,589.52, 2,385.09 and 1,469.24 is: 2,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.52 : 2,385.09 = 1,469.24 : x
  2. Step 2: Convert to fraction form
    1,589.52/2,385.09 = 1,469.24/x
  3. Step 3: Cross multiply
    1,589.52x = 2,385.09 × 1,469.24
  4. Step 4: Simplify right side
    1,589.52x = 3,504,257.71
  5. Step 5: Solve for x
    x = 3,504,257.71/1,589.52
  6. Step 6: Final answer
    x = 2,204.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.