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Finding the Fourth Proportional to 3,138.06, 4,702.50 and 2,149.86

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Solution

The fourth proportional to 3,138.06, 4,702.50 and 2,149.86 is: 3,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.06 : 4,702.50 = 2,149.86 : x
  2. Step 2: Convert to fraction form
    3,138.06/4,702.50 = 2,149.86/x
  3. Step 3: Cross multiply
    3,138.06x = 4,702.50 × 2,149.86
  4. Step 4: Simplify right side
    3,138.06x = 10,109,716.65
  5. Step 5: Solve for x
    x = 10,109,716.65/3,138.06
  6. Step 6: Final answer
    x = 3,221.65

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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.