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Finding the Fourth Proportional to 2,771.49, 3,825 and 1,592.55

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Solution

The fourth proportional to 2,771.49, 3,825 and 1,592.55 is: 2,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.49 : 3,825 = 1,592.55 : x
  2. Step 2: Convert to fraction form
    2,771.49/3,825 = 1,592.55/x
  3. Step 3: Cross multiply
    2,771.49x = 3,825 × 1,592.55
  4. Step 4: Simplify right side
    2,771.49x = 6,091,503.75
  5. Step 5: Solve for x
    x = 6,091,503.75/2,771.49
  6. Step 6: Final answer
    x = 2,197.92

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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.