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Finding the Fourth Proportional to 2,295.20, 3,149.77 and 2,149.40

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Solution

The fourth proportional to 2,295.20, 3,149.77 and 2,149.40 is: 2,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.20 : 3,149.77 = 2,149.40 : x
  2. Step 2: Convert to fraction form
    2,295.20/3,149.77 = 2,149.40/x
  3. Step 3: Cross multiply
    2,295.20x = 3,149.77 × 2,149.40
  4. Step 4: Simplify right side
    2,295.20x = 6,770,115.64
  5. Step 5: Solve for x
    x = 6,770,115.64/2,295.20
  6. Step 6: Final answer
    x = 2,949.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.