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Finding the Fourth Proportional to 2,643.14, 3,961.70 and 887.73

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Solution

The fourth proportional to 2,643.14, 3,961.70 and 887.73 is: 1,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.14 : 3,961.70 = 887.73 : x
  2. Step 2: Convert to fraction form
    2,643.14/3,961.70 = 887.73/x
  3. Step 3: Cross multiply
    2,643.14x = 3,961.70 × 887.73
  4. Step 4: Simplify right side
    2,643.14x = 3,516,919.94
  5. Step 5: Solve for x
    x = 3,516,919.94/2,643.14
  6. Step 6: Final answer
    x = 1,330.58

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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.