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Finding the Fourth Proportional to 1,481.62, 2,044.13 and 950.47

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Solution

The fourth proportional to 1,481.62, 2,044.13 and 950.47 is: 1,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.62 : 2,044.13 = 950.47 : x
  2. Step 2: Convert to fraction form
    1,481.62/2,044.13 = 950.47/x
  3. Step 3: Cross multiply
    1,481.62x = 2,044.13 × 950.47
  4. Step 4: Simplify right side
    1,481.62x = 1,942,884.24
  5. Step 5: Solve for x
    x = 1,942,884.24/1,481.62
  6. Step 6: Final answer
    x = 1,311.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.