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Finding the Fourth Proportional to 2,837.96, 4,228.42 and 2,678.82

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Solution

The fourth proportional to 2,837.96, 4,228.42 and 2,678.82 is: 3,991.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.96 : 4,228.42 = 2,678.82 : x
  2. Step 2: Convert to fraction form
    2,837.96/4,228.42 = 2,678.82/x
  3. Step 3: Cross multiply
    2,837.96x = 4,228.42 × 2,678.82
  4. Step 4: Simplify right side
    2,837.96x = 11,327,141.53
  5. Step 5: Solve for x
    x = 11,327,141.53/2,837.96
  6. Step 6: Final answer
    x = 3,991.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.