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Finding the Fourth Proportional to 2,782.82, 3,844.24 and 2,434.27

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Solution

The fourth proportional to 2,782.82, 3,844.24 and 2,434.27 is: 3,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.82 : 3,844.24 = 2,434.27 : x
  2. Step 2: Convert to fraction form
    2,782.82/3,844.24 = 2,434.27/x
  3. Step 3: Cross multiply
    2,782.82x = 3,844.24 × 2,434.27
  4. Step 4: Simplify right side
    2,782.82x = 9,357,902.41
  5. Step 5: Solve for x
    x = 9,357,902.41/2,782.82
  6. Step 6: Final answer
    x = 3,362.74

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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.