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Finding the Fourth Proportional to 2,583.94, 3,565.91 and 1,589.80

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Solution

The fourth proportional to 2,583.94, 3,565.91 and 1,589.80 is: 2,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.94 : 3,565.91 = 1,589.80 : x
  2. Step 2: Convert to fraction form
    2,583.94/3,565.91 = 1,589.80/x
  3. Step 3: Cross multiply
    2,583.94x = 3,565.91 × 1,589.80
  4. Step 4: Simplify right side
    2,583.94x = 5,669,057.94
  5. Step 5: Solve for x
    x = 5,669,057.94/2,583.94
  6. Step 6: Final answer
    x = 2,193.96

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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.