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Finding the Fourth Proportional to 3,441.66, 5,163.21 and 1,709.34

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Solution

The fourth proportional to 3,441.66, 5,163.21 and 1,709.34 is: 2,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.66 : 5,163.21 = 1,709.34 : x
  2. Step 2: Convert to fraction form
    3,441.66/5,163.21 = 1,709.34/x
  3. Step 3: Cross multiply
    3,441.66x = 5,163.21 × 1,709.34
  4. Step 4: Simplify right side
    3,441.66x = 8,825,681.38
  5. Step 5: Solve for x
    x = 8,825,681.38/3,441.66
  6. Step 6: Final answer
    x = 2,564.37

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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.