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Finding the Fourth Proportional to 2,160.97, 3,241.41 and 700.12

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Solution

The fourth proportional to 2,160.97, 3,241.41 and 700.12 is: 1,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.97 : 3,241.41 = 700.12 : x
  2. Step 2: Convert to fraction form
    2,160.97/3,241.41 = 700.12/x
  3. Step 3: Cross multiply
    2,160.97x = 3,241.41 × 700.12
  4. Step 4: Simplify right side
    2,160.97x = 2,269,375.97
  5. Step 5: Solve for x
    x = 2,269,375.97/2,160.97
  6. Step 6: Final answer
    x = 1,050.17

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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.