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Finding the Fourth Proportional to 2,584.86, 3,567.87 and 1,537.62

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Solution

The fourth proportional to 2,584.86, 3,567.87 and 1,537.62 is: 2,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.86 : 3,567.87 = 1,537.62 : x
  2. Step 2: Convert to fraction form
    2,584.86/3,567.87 = 1,537.62/x
  3. Step 3: Cross multiply
    2,584.86x = 3,567.87 × 1,537.62
  4. Step 4: Simplify right side
    2,584.86x = 5,486,028.27
  5. Step 5: Solve for x
    x = 5,486,028.27/2,584.86
  6. Step 6: Final answer
    x = 2,122.37

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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.