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Finding the Fourth Proportional to 3,462.34, 5,189.67 and 1,634.50

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Solution

The fourth proportional to 3,462.34, 5,189.67 and 1,634.50 is: 2,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.34 : 5,189.67 = 1,634.50 : x
  2. Step 2: Convert to fraction form
    3,462.34/5,189.67 = 1,634.50/x
  3. Step 3: Cross multiply
    3,462.34x = 5,189.67 × 1,634.50
  4. Step 4: Simplify right side
    3,462.34x = 8,482,515.62
  5. Step 5: Solve for x
    x = 8,482,515.62/3,462.34
  6. Step 6: Final answer
    x = 2,449.94

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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.