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Finding the Fourth Proportional to 2,632.97, 3,949.46 and 685.17

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Solution

The fourth proportional to 2,632.97, 3,949.46 and 685.17 is: 1,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.97 : 3,949.46 = 685.17 : x
  2. Step 2: Convert to fraction form
    2,632.97/3,949.46 = 685.17/x
  3. Step 3: Cross multiply
    2,632.97x = 3,949.46 × 685.17
  4. Step 4: Simplify right side
    2,632.97x = 2,706,051.51
  5. Step 5: Solve for x
    x = 2,706,051.51/2,632.97
  6. Step 6: Final answer
    x = 1,027.76

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Double scale
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Similar ratio
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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.