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Finding the Fourth Proportional to 2,629.16, 3,943.28 and 873.99

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Solution

The fourth proportional to 2,629.16, 3,943.28 and 873.99 is: 1,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.16 : 3,943.28 = 873.99 : x
  2. Step 2: Convert to fraction form
    2,629.16/3,943.28 = 873.99/x
  3. Step 3: Cross multiply
    2,629.16x = 3,943.28 × 873.99
  4. Step 4: Simplify right side
    2,629.16x = 3,446,387.29
  5. Step 5: Solve for x
    x = 3,446,387.29/2,629.16
  6. Step 6: Final answer
    x = 1,310.83

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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.