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Finding the Fourth Proportional to 2,796.14, 4,194.71 and 1,151.77

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Solution

The fourth proportional to 2,796.14, 4,194.71 and 1,151.77 is: 1,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.14 : 4,194.71 = 1,151.77 : x
  2. Step 2: Convert to fraction form
    2,796.14/4,194.71 = 1,151.77/x
  3. Step 3: Cross multiply
    2,796.14x = 4,194.71 × 1,151.77
  4. Step 4: Simplify right side
    2,796.14x = 4,831,314.40
  5. Step 5: Solve for x
    x = 4,831,314.40/2,796.14
  6. Step 6: Final answer
    x = 1,727.85

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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.