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Finding the Fourth Proportional to 2,594.25, 3,891.42 and 950.49

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Solution

The fourth proportional to 2,594.25, 3,891.42 and 950.49 is: 1,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.25 : 3,891.42 = 950.49 : x
  2. Step 2: Convert to fraction form
    2,594.25/3,891.42 = 950.49/x
  3. Step 3: Cross multiply
    2,594.25x = 3,891.42 × 950.49
  4. Step 4: Simplify right side
    2,594.25x = 3,698,755.80
  5. Step 5: Solve for x
    x = 3,698,755.80/2,594.25
  6. Step 6: Final answer
    x = 1,425.75

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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.