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Finding the Fourth Proportional to 2,943.67, 4,414.99 and 863.64

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Solution

The fourth proportional to 2,943.67, 4,414.99 and 863.64 is: 1,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.67 : 4,414.99 = 863.64 : x
  2. Step 2: Convert to fraction form
    2,943.67/4,414.99 = 863.64/x
  3. Step 3: Cross multiply
    2,943.67x = 4,414.99 × 863.64
  4. Step 4: Simplify right side
    2,943.67x = 3,812,961.96
  5. Step 5: Solve for x
    x = 3,812,961.96/2,943.67
  6. Step 6: Final answer
    x = 1,295.31

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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.