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Finding the Fourth Proportional to 2,796.76, 3,858.82 and 2,238.36

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Solution

The fourth proportional to 2,796.76, 3,858.82 and 2,238.36 is: 3,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.76 : 3,858.82 = 2,238.36 : x
  2. Step 2: Convert to fraction form
    2,796.76/3,858.82 = 2,238.36/x
  3. Step 3: Cross multiply
    2,796.76x = 3,858.82 × 2,238.36
  4. Step 4: Simplify right side
    2,796.76x = 8,637,428.34
  5. Step 5: Solve for x
    x = 8,637,428.34/2,796.76
  6. Step 6: Final answer
    x = 3,088.37

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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.