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Finding the Fourth Proportional to 3,177.44, 4,741.44 and 2,850.56

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Solution

The fourth proportional to 3,177.44, 4,741.44 and 2,850.56 is: 4,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.44 : 4,741.44 = 2,850.56 : x
  2. Step 2: Convert to fraction form
    3,177.44/4,741.44 = 2,850.56/x
  3. Step 3: Cross multiply
    3,177.44x = 4,741.44 × 2,850.56
  4. Step 4: Simplify right side
    3,177.44x = 13,515,759.21
  5. Step 5: Solve for x
    x = 13,515,759.21/3,177.44
  6. Step 6: Final answer
    x = 4,253.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.