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Finding the Fourth Proportional to 2,791.40, 3,850.52 and 2,316.58

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Solution

The fourth proportional to 2,791.40, 3,850.52 and 2,316.58 is: 3,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.40 : 3,850.52 = 2,316.58 : x
  2. Step 2: Convert to fraction form
    2,791.40/3,850.52 = 2,316.58/x
  3. Step 3: Cross multiply
    2,791.40x = 3,850.52 × 2,316.58
  4. Step 4: Simplify right side
    2,791.40x = 8,920,037.62
  5. Step 5: Solve for x
    x = 8,920,037.62/2,791.40
  6. Step 6: Final answer
    x = 3,195.54

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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.