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Finding the Fourth Proportional to 2,966.43, 4,092.85 and 2,069.22

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Solution

The fourth proportional to 2,966.43, 4,092.85 and 2,069.22 is: 2,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.43 : 4,092.85 = 2,069.22 : x
  2. Step 2: Convert to fraction form
    2,966.43/4,092.85 = 2,069.22/x
  3. Step 3: Cross multiply
    2,966.43x = 4,092.85 × 2,069.22
  4. Step 4: Simplify right side
    2,966.43x = 8,469,007.08
  5. Step 5: Solve for x
    x = 8,469,007.08/2,966.43
  6. Step 6: Final answer
    x = 2,854.95

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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.