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Finding the Fourth Proportional to 2,773.54, 3,824.08 and 1,723.78

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Solution

The fourth proportional to 2,773.54, 3,824.08 and 1,723.78 is: 2,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.54 : 3,824.08 = 1,723.78 : x
  2. Step 2: Convert to fraction form
    2,773.54/3,824.08 = 1,723.78/x
  3. Step 3: Cross multiply
    2,773.54x = 3,824.08 × 1,723.78
  4. Step 4: Simplify right side
    2,773.54x = 6,591,872.62
  5. Step 5: Solve for x
    x = 6,591,872.62/2,773.54
  6. Step 6: Final answer
    x = 2,376.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.