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Finding the Fourth Proportional to 2,789.66, 3,846.29 and 2,343.29

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Solution

The fourth proportional to 2,789.66, 3,846.29 and 2,343.29 is: 3,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.66 : 3,846.29 = 2,343.29 : x
  2. Step 2: Convert to fraction form
    2,789.66/3,846.29 = 2,343.29/x
  3. Step 3: Cross multiply
    2,789.66x = 3,846.29 × 2,343.29
  4. Step 4: Simplify right side
    2,789.66x = 9,012,941.95
  5. Step 5: Solve for x
    x = 9,012,941.95/2,789.66
  6. Step 6: Final answer
    x = 3,230.84

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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.