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Finding the Fourth Proportional to 2,538.63, 3,791.08 and 2,511.14

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Solution

The fourth proportional to 2,538.63, 3,791.08 and 2,511.14 is: 3,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.63 : 3,791.08 = 2,511.14 : x
  2. Step 2: Convert to fraction form
    2,538.63/3,791.08 = 2,511.14/x
  3. Step 3: Cross multiply
    2,538.63x = 3,791.08 × 2,511.14
  4. Step 4: Simplify right side
    2,538.63x = 9,519,917.80
  5. Step 5: Solve for x
    x = 9,519,917.80/2,538.63
  6. Step 6: Final answer
    x = 3,750.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.