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Finding the Fourth Proportional to 2,581.52, 3,872.21 and 633.74

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Solution

The fourth proportional to 2,581.52, 3,872.21 and 633.74 is: 950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.52 : 3,872.21 = 633.74 : x
  2. Step 2: Convert to fraction form
    2,581.52/3,872.21 = 633.74/x
  3. Step 3: Cross multiply
    2,581.52x = 3,872.21 × 633.74
  4. Step 4: Simplify right side
    2,581.52x = 2,453,951.84
  5. Step 5: Solve for x
    x = 2,453,951.84/2,581.52
  6. Step 6: Final answer
    x = 950.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.