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Finding the Fourth Proportional to 2,189.19, 3,284.25 and 629.18

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Solution

The fourth proportional to 2,189.19, 3,284.25 and 629.18 is: 943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.19 : 3,284.25 = 629.18 : x
  2. Step 2: Convert to fraction form
    2,189.19/3,284.25 = 629.18/x
  3. Step 3: Cross multiply
    2,189.19x = 3,284.25 × 629.18
  4. Step 4: Simplify right side
    2,189.19x = 2,066,382.67
  5. Step 5: Solve for x
    x = 2,066,382.67/2,189.19
  6. Step 6: Final answer
    x = 943.90

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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.