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Finding the Fourth Proportional to 2,523.71, 3,791.03 and 2,134.49

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Solution

The fourth proportional to 2,523.71, 3,791.03 and 2,134.49 is: 3,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.71 : 3,791.03 = 2,134.49 : x
  2. Step 2: Convert to fraction form
    2,523.71/3,791.03 = 2,134.49/x
  3. Step 3: Cross multiply
    2,523.71x = 3,791.03 × 2,134.49
  4. Step 4: Simplify right side
    2,523.71x = 8,091,886.00
  5. Step 5: Solve for x
    x = 8,091,886.00/2,523.71
  6. Step 6: Final answer
    x = 3,206.34

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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.