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Finding the Fourth Proportional to 4,433.69, 6,650.73 and 1,659.65

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Solution

The fourth proportional to 4,433.69, 6,650.73 and 1,659.65 is: 2,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.69 : 6,650.73 = 1,659.65 : x
  2. Step 2: Convert to fraction form
    4,433.69/6,650.73 = 1,659.65/x
  3. Step 3: Cross multiply
    4,433.69x = 6,650.73 × 1,659.65
  4. Step 4: Simplify right side
    4,433.69x = 11,037,850.79
  5. Step 5: Solve for x
    x = 11,037,850.79/4,433.69
  6. Step 6: Final answer
    x = 2,489.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.