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Finding the Fourth Proportional to 2,584.97, 3,567.32 and 1,589.67

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Solution

The fourth proportional to 2,584.97, 3,567.32 and 1,589.67 is: 2,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.97 : 3,567.32 = 1,589.67 : x
  2. Step 2: Convert to fraction form
    2,584.97/3,567.32 = 1,589.67/x
  3. Step 3: Cross multiply
    2,584.97x = 3,567.32 × 1,589.67
  4. Step 4: Simplify right side
    2,584.97x = 5,670,853.64
  5. Step 5: Solve for x
    x = 5,670,853.64/2,584.97
  6. Step 6: Final answer
    x = 2,193.78

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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.