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Finding the Fourth Proportional to 2,584.53, 3,876.84 and 636.75

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Solution

The fourth proportional to 2,584.53, 3,876.84 and 636.75 is: 955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.53 : 3,876.84 = 636.75 : x
  2. Step 2: Convert to fraction form
    2,584.53/3,876.84 = 636.75/x
  3. Step 3: Cross multiply
    2,584.53x = 3,876.84 × 636.75
  4. Step 4: Simplify right side
    2,584.53x = 2,468,577.87
  5. Step 5: Solve for x
    x = 2,468,577.87/2,584.53
  6. Step 6: Final answer
    x = 955.14

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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.