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Finding the Fourth Proportional to 2,173.30, 3,259.61 and 613.14

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Solution

The fourth proportional to 2,173.30, 3,259.61 and 613.14 is: 919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.30 : 3,259.61 = 613.14 : x
  2. Step 2: Convert to fraction form
    2,173.30/3,259.61 = 613.14/x
  3. Step 3: Cross multiply
    2,173.30x = 3,259.61 × 613.14
  4. Step 4: Simplify right side
    2,173.30x = 1,998,584.29
  5. Step 5: Solve for x
    x = 1,998,584.29/2,173.30
  6. Step 6: Final answer
    x = 919.61

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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.