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Finding the Fourth Proportional to 2,763.10, 3,812.90 and 1,644.12

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Solution

The fourth proportional to 2,763.10, 3,812.90 and 1,644.12 is: 2,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.10 : 3,812.90 = 1,644.12 : x
  2. Step 2: Convert to fraction form
    2,763.10/3,812.90 = 1,644.12/x
  3. Step 3: Cross multiply
    2,763.10x = 3,812.90 × 1,644.12
  4. Step 4: Simplify right side
    2,763.10x = 6,268,872.28
  5. Step 5: Solve for x
    x = 6,268,872.28/2,763.10
  6. Step 6: Final answer
    x = 2,268.78

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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.