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Finding the Fourth Proportional to 2,581.58, 3,872.44 and 633.78

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Solution

The fourth proportional to 2,581.58, 3,872.44 and 633.78 is: 950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.58 : 3,872.44 = 633.78 : x
  2. Step 2: Convert to fraction form
    2,581.58/3,872.44 = 633.78/x
  3. Step 3: Cross multiply
    2,581.58x = 3,872.44 × 633.78
  4. Step 4: Simplify right side
    2,581.58x = 2,454,282.24
  5. Step 5: Solve for x
    x = 2,454,282.24/2,581.58
  6. Step 6: Final answer
    x = 950.69

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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.