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Finding the Fourth Proportional to 2,387.25, 3,579.57 and 826.38

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Solution

The fourth proportional to 2,387.25, 3,579.57 and 826.38 is: 1,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.25 : 3,579.57 = 826.38 : x
  2. Step 2: Convert to fraction form
    2,387.25/3,579.57 = 826.38/x
  3. Step 3: Cross multiply
    2,387.25x = 3,579.57 × 826.38
  4. Step 4: Simplify right side
    2,387.25x = 2,958,085.06
  5. Step 5: Solve for x
    x = 2,958,085.06/2,387.25
  6. Step 6: Final answer
    x = 1,239.12

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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.