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Finding the Fourth Proportional to 2,084.97, 3,128.69 and 769.64

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Solution

The fourth proportional to 2,084.97, 3,128.69 and 769.64 is: 1,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.97 : 3,128.69 = 769.64 : x
  2. Step 2: Convert to fraction form
    2,084.97/3,128.69 = 769.64/x
  3. Step 3: Cross multiply
    2,084.97x = 3,128.69 × 769.64
  4. Step 4: Simplify right side
    2,084.97x = 2,407,961.12
  5. Step 5: Solve for x
    x = 2,407,961.12/2,084.97
  6. Step 6: Final answer
    x = 1,154.91

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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.