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Finding the Fourth Proportional to 2,163.97, 3,245.41 and 703.54

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Solution

The fourth proportional to 2,163.97, 3,245.41 and 703.54 is: 1,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.97 : 3,245.41 = 703.54 : x
  2. Step 2: Convert to fraction form
    2,163.97/3,245.41 = 703.54/x
  3. Step 3: Cross multiply
    2,163.97x = 3,245.41 × 703.54
  4. Step 4: Simplify right side
    2,163.97x = 2,283,275.75
  5. Step 5: Solve for x
    x = 2,283,275.75/2,163.97
  6. Step 6: Final answer
    x = 1,055.13

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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.