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Finding the Fourth Proportional to 2,043.41, 3,065.49 and 873.41

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Solution

The fourth proportional to 2,043.41, 3,065.49 and 873.41 is: 1,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.41 : 3,065.49 = 873.41 : x
  2. Step 2: Convert to fraction form
    2,043.41/3,065.49 = 873.41/x
  3. Step 3: Cross multiply
    2,043.41x = 3,065.49 × 873.41
  4. Step 4: Simplify right side
    2,043.41x = 2,677,429.62
  5. Step 5: Solve for x
    x = 2,677,429.62/2,043.41
  6. Step 6: Final answer
    x = 1,310.28

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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.