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Finding the Fourth Proportional to 2,761.34, 3,813.97 and 2,014.12

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Solution

The fourth proportional to 2,761.34, 3,813.97 and 2,014.12 is: 2,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.34 : 3,813.97 = 2,014.12 : x
  2. Step 2: Convert to fraction form
    2,761.34/3,813.97 = 2,014.12/x
  3. Step 3: Cross multiply
    2,761.34x = 3,813.97 × 2,014.12
  4. Step 4: Simplify right side
    2,761.34x = 7,681,774.19
  5. Step 5: Solve for x
    x = 7,681,774.19/2,761.34
  6. Step 6: Final answer
    x = 2,781.90

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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.