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Finding the Fourth Proportional to 3,141.97, 4,712.99 and 950.79

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Solution

The fourth proportional to 3,141.97, 4,712.99 and 950.79 is: 1,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.97 : 4,712.99 = 950.79 : x
  2. Step 2: Convert to fraction form
    3,141.97/4,712.99 = 950.79/x
  3. Step 3: Cross multiply
    3,141.97x = 4,712.99 × 950.79
  4. Step 4: Simplify right side
    3,141.97x = 4,481,063.76
  5. Step 5: Solve for x
    x = 4,481,063.76/3,141.97
  6. Step 6: Final answer
    x = 1,426.20

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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.