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Finding the Fourth Proportional to 2,169.81, 3,254.65 and 609.82

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Solution

The fourth proportional to 2,169.81, 3,254.65 and 609.82 is: 914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.81 : 3,254.65 = 609.82 : x
  2. Step 2: Convert to fraction form
    2,169.81/3,254.65 = 609.82/x
  3. Step 3: Cross multiply
    2,169.81x = 3,254.65 × 609.82
  4. Step 4: Simplify right side
    2,169.81x = 1,984,750.66
  5. Step 5: Solve for x
    x = 1,984,750.66/2,169.81
  6. Step 6: Final answer
    x = 914.71

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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.