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Finding the Fourth Proportional to 2,943.65, 4,414.77 and 863.21

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Solution

The fourth proportional to 2,943.65, 4,414.77 and 863.21 is: 1,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.65 : 4,414.77 = 863.21 : x
  2. Step 2: Convert to fraction form
    2,943.65/4,414.77 = 863.21/x
  3. Step 3: Cross multiply
    2,943.65x = 4,414.77 × 863.21
  4. Step 4: Simplify right side
    2,943.65x = 3,810,873.61
  5. Step 5: Solve for x
    x = 3,810,873.61/2,943.65
  6. Step 6: Final answer
    x = 1,294.61

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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.