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Finding the Fourth Proportional to 2,169.50, 3,254.13 and 609.61

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Solution

The fourth proportional to 2,169.50, 3,254.13 and 609.61 is: 914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.50 : 3,254.13 = 609.61 : x
  2. Step 2: Convert to fraction form
    2,169.50/3,254.13 = 609.61/x
  3. Step 3: Cross multiply
    2,169.50x = 3,254.13 × 609.61
  4. Step 4: Simplify right side
    2,169.50x = 1,983,750.19
  5. Step 5: Solve for x
    x = 1,983,750.19/2,169.50
  6. Step 6: Final answer
    x = 914.38

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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.