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Finding the Fourth Proportional to 3,441.80, 5,163.42 and 1,133

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Solution

The fourth proportional to 3,441.80, 5,163.42 and 1,133 is: 1,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.80 : 5,163.42 = 1,133 : x
  2. Step 2: Convert to fraction form
    3,441.80/5,163.42 = 1,133/x
  3. Step 3: Cross multiply
    3,441.80x = 5,163.42 × 1,133
  4. Step 4: Simplify right side
    3,441.80x = 5,850,154.86
  5. Step 5: Solve for x
    x = 5,850,154.86/3,441.80
  6. Step 6: Final answer
    x = 1,699.74

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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.