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Finding the Fourth Proportional to 2,143.80, 3,213.81 and 844.29

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Solution

The fourth proportional to 2,143.80, 3,213.81 and 844.29 is: 1,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.80 : 3,213.81 = 844.29 : x
  2. Step 2: Convert to fraction form
    2,143.80/3,213.81 = 844.29/x
  3. Step 3: Cross multiply
    2,143.80x = 3,213.81 × 844.29
  4. Step 4: Simplify right side
    2,143.80x = 2,713,387.64
  5. Step 5: Solve for x
    x = 2,713,387.64/2,143.80
  6. Step 6: Final answer
    x = 1,265.69

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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.