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Finding the Fourth Proportional to 2,149.68, 3,227.26 and 1,827.10

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Solution

The fourth proportional to 2,149.68, 3,227.26 and 1,827.10 is: 2,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.68 : 3,227.26 = 1,827.10 : x
  2. Step 2: Convert to fraction form
    2,149.68/3,227.26 = 1,827.10/x
  3. Step 3: Cross multiply
    2,149.68x = 3,227.26 × 1,827.10
  4. Step 4: Simplify right side
    2,149.68x = 5,896,514.11
  5. Step 5: Solve for x
    x = 5,896,514.11/2,149.68
  6. Step 6: Final answer
    x = 2,742.97

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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.