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Finding the Fourth Proportional to 2,144.25, 2,959.61 and 1,213.29

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Solution

The fourth proportional to 2,144.25, 2,959.61 and 1,213.29 is: 1,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.25 : 2,959.61 = 1,213.29 : x
  2. Step 2: Convert to fraction form
    2,144.25/2,959.61 = 1,213.29/x
  3. Step 3: Cross multiply
    2,144.25x = 2,959.61 × 1,213.29
  4. Step 4: Simplify right side
    2,144.25x = 3,590,859.15
  5. Step 5: Solve for x
    x = 3,590,859.15/2,144.25
  6. Step 6: Final answer
    x = 1,674.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.