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Finding the Fourth Proportional to 1,922.82, 2,883.80 and 827.70

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Solution

The fourth proportional to 1,922.82, 2,883.80 and 827.70 is: 1,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.82 : 2,883.80 = 827.70 : x
  2. Step 2: Convert to fraction form
    1,922.82/2,883.80 = 827.70/x
  3. Step 3: Cross multiply
    1,922.82x = 2,883.80 × 827.70
  4. Step 4: Simplify right side
    1,922.82x = 2,386,921.26
  5. Step 5: Solve for x
    x = 2,386,921.26/1,922.82
  6. Step 6: Final answer
    x = 1,241.36

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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.