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Finding the Fourth Proportional to 2,866.73, 4,300.31 and 918.82

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Solution

The fourth proportional to 2,866.73, 4,300.31 and 918.82 is: 1,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.73 : 4,300.31 = 918.82 : x
  2. Step 2: Convert to fraction form
    2,866.73/4,300.31 = 918.82/x
  3. Step 3: Cross multiply
    2,866.73x = 4,300.31 × 918.82
  4. Step 4: Simplify right side
    2,866.73x = 3,951,195.49
  5. Step 5: Solve for x
    x = 3,951,195.49/2,866.73
  6. Step 6: Final answer
    x = 1,378.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.