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Finding the Fourth Proportional to 2,826.09, 4,239.13 and 2,461.14

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Solution

The fourth proportional to 2,826.09, 4,239.13 and 2,461.14 is: 3,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.09 : 4,239.13 = 2,461.14 : x
  2. Step 2: Convert to fraction form
    2,826.09/4,239.13 = 2,461.14/x
  3. Step 3: Cross multiply
    2,826.09x = 4,239.13 × 2,461.14
  4. Step 4: Simplify right side
    2,826.09x = 10,433,092.41
  5. Step 5: Solve for x
    x = 10,433,092.41/2,826.09
  6. Step 6: Final answer
    x = 3,691.71

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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.