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Finding the Fourth Proportional to 2,771.32, 3,824.02 and 1,652.24

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Solution

The fourth proportional to 2,771.32, 3,824.02 and 1,652.24 is: 2,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.32 : 3,824.02 = 1,652.24 : x
  2. Step 2: Convert to fraction form
    2,771.32/3,824.02 = 1,652.24/x
  3. Step 3: Cross multiply
    2,771.32x = 3,824.02 × 1,652.24
  4. Step 4: Simplify right side
    2,771.32x = 6,318,198.80
  5. Step 5: Solve for x
    x = 6,318,198.80/2,771.32
  6. Step 6: Final answer
    x = 2,279.85

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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.