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Finding the Fourth Proportional to 1,826.27, 2,519.80 and 1,029.44

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Solution

The fourth proportional to 1,826.27, 2,519.80 and 1,029.44 is: 1,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.27 : 2,519.80 = 1,029.44 : x
  2. Step 2: Convert to fraction form
    1,826.27/2,519.80 = 1,029.44/x
  3. Step 3: Cross multiply
    1,826.27x = 2,519.80 × 1,029.44
  4. Step 4: Simplify right side
    1,826.27x = 2,593,982.91
  5. Step 5: Solve for x
    x = 2,593,982.91/1,826.27
  6. Step 6: Final answer
    x = 1,420.37

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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.