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Finding the Fourth Proportional to 2,846.14, 4,268.67 and 897.82

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Solution

The fourth proportional to 2,846.14, 4,268.67 and 897.82 is: 1,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.14 : 4,268.67 = 897.82 : x
  2. Step 2: Convert to fraction form
    2,846.14/4,268.67 = 897.82/x
  3. Step 3: Cross multiply
    2,846.14x = 4,268.67 × 897.82
  4. Step 4: Simplify right side
    2,846.14x = 3,832,497.30
  5. Step 5: Solve for x
    x = 3,832,497.30/2,846.14
  6. Step 6: Final answer
    x = 1,346.56

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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.