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Finding the Fourth Proportional to 2,734.25, 4,092.87 and 2,646.77

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Solution

The fourth proportional to 2,734.25, 4,092.87 and 2,646.77 is: 3,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.25 : 4,092.87 = 2,646.77 : x
  2. Step 2: Convert to fraction form
    2,734.25/4,092.87 = 2,646.77/x
  3. Step 3: Cross multiply
    2,734.25x = 4,092.87 × 2,646.77
  4. Step 4: Simplify right side
    2,734.25x = 10,832,885.53
  5. Step 5: Solve for x
    x = 10,832,885.53/2,734.25
  6. Step 6: Final answer
    x = 3,961.92

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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.