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Finding the Fourth Proportional to 2,297.41, 3,149.80 and 2,255.90

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Solution

The fourth proportional to 2,297.41, 3,149.80 and 2,255.90 is: 3,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.41 : 3,149.80 = 2,255.90 : x
  2. Step 2: Convert to fraction form
    2,297.41/3,149.80 = 2,255.90/x
  3. Step 3: Cross multiply
    2,297.41x = 3,149.80 × 2,255.90
  4. Step 4: Simplify right side
    2,297.41x = 7,105,636.05
  5. Step 5: Solve for x
    x = 7,105,636.05/2,297.41
  6. Step 6: Final answer
    x = 3,092.89

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1.5x scale

Why These Related Problems?

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