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Finding the Fourth Proportional to 2,519.61, 3,781.44 and 1,826.61

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Solution

The fourth proportional to 2,519.61, 3,781.44 and 1,826.61 is: 2,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.61 : 3,781.44 = 1,826.61 : x
  2. Step 2: Convert to fraction form
    2,519.61/3,781.44 = 1,826.61/x
  3. Step 3: Cross multiply
    2,519.61x = 3,781.44 × 1,826.61
  4. Step 4: Simplify right side
    2,519.61x = 6,907,216.12
  5. Step 5: Solve for x
    x = 6,907,216.12/2,519.61
  6. Step 6: Final answer
    x = 2,741.38

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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.