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Finding the Fourth Proportional to 3,098.25, 4,651.02 and 2,584.31

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Solution

The fourth proportional to 3,098.25, 4,651.02 and 2,584.31 is: 3,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.25 : 4,651.02 = 2,584.31 : x
  2. Step 2: Convert to fraction form
    3,098.25/4,651.02 = 2,584.31/x
  3. Step 3: Cross multiply
    3,098.25x = 4,651.02 × 2,584.31
  4. Step 4: Simplify right side
    3,098.25x = 12,019,654.24
  5. Step 5: Solve for x
    x = 12,019,654.24/3,098.25
  6. Step 6: Final answer
    x = 3,879.50

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Why These Related Problems?

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