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Finding the Fourth Proportional to 1,922.37, 2,882.99 and 826.48

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Solution

The fourth proportional to 1,922.37, 2,882.99 and 826.48 is: 1,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.37 : 2,882.99 = 826.48 : x
  2. Step 2: Convert to fraction form
    1,922.37/2,882.99 = 826.48/x
  3. Step 3: Cross multiply
    1,922.37x = 2,882.99 × 826.48
  4. Step 4: Simplify right side
    1,922.37x = 2,382,733.58
  5. Step 5: Solve for x
    x = 2,382,733.58/1,922.37
  6. Step 6: Final answer
    x = 1,239.48

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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.