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Finding the Fourth Proportional to 2,804.66, 3,861.98 and 2,743.17

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Solution

The fourth proportional to 2,804.66, 3,861.98 and 2,743.17 is: 3,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.66 : 3,861.98 = 2,743.17 : x
  2. Step 2: Convert to fraction form
    2,804.66/3,861.98 = 2,743.17/x
  3. Step 3: Cross multiply
    2,804.66x = 3,861.98 × 2,743.17
  4. Step 4: Simplify right side
    2,804.66x = 10,594,049.77
  5. Step 5: Solve for x
    x = 10,594,049.77/2,804.66
  6. Step 6: Final answer
    x = 3,777.30

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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.